Trigonometry
SP.IX.X.trig.007.2
#t2 #s2, atunci cos(2u) = ... .]]>
1.0000000
0.3333333
0
0
#S2
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>=</mo><mi>random</mi><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>u</mi><mo>=</mo><mi>random</mi><mo>{</mo><mo>-</mo><pi/><mo>/</mo><mn>8</mn><mo>,</mo><mo>-</mo><pi/><mo>/</mo><mn>12</mn><mo>,</mo><pi/><mo>/</mo><mn>8</mn><mo>,</mo><pi/><mo>/</mo><mn>12</mn><mo>,</mo><mn>5</mn><mo>*</mo><pi/><mo>/</mo><mn>12</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi><mo>=</mo><mo>"</mo><mi>Dacă</mi><mo> </mo><mi>u</mi><mo> </mo><mo>∈</mo><mo>(</mo><mo> </mo><mfrac><mrow><mo>-</mo><pi/></mrow><mn>2</mn></mfrac><mo>,</mo><mo> </mo><mfrac><pi/><mn>2</mn></mfrac><mo>)</mo><mo> </mo><mi>și</mi><mo> </mo><mi>sin</mi><mo>(</mo><mi>u</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t2</mi><mo>=</mo><mo>"</mo><mi>Dacă</mi><mo> </mo><mi>u</mi><mo> </mo><mo>∈</mo><mo>(</mo><mo> </mo><mfrac><mrow><mo>-</mo><pi/></mrow><mn>2</mn></mfrac><mo>,</mo><mo> </mo><mfrac><pi/><mn>2</mn></mfrac><mo>)</mo><mo> </mo><mi>și</mi><mo> </mo><mi>cos</mi><mo>(</mo><mi>u</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t3</mi><mo>=</mo><mo>"</mo><mi>Dacă</mi><mo> </mo><mi>u</mi><mo> </mo><mo>∈</mo><mo>(</mo><mo> </mo><mfrac><mrow><mo>-</mo><pi/></mrow><mn>2</mn></mfrac><mo>,</mo><mo> </mo><mfrac><pi/><mn>2</mn></mfrac><mo>)</mo><mo> </mo><mi>și</mi><mo> </mo><mi>tg</mi><mo>(</mo><mi>u</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi><mo>=</mo><mi>sin</mi><mo>(</mo><mi>u</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2</mi><mo>=</mo><mi>cos</mi><mo>(</mo><mi>u</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s3</mi><mo>=</mo><mi>tan</mi><mo>(</mo><mi>u</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S1</mi><mo>=</mo><mi>sin</mi><mo>(</mo><mn>2</mn><mo>*</mo><mi>u</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S2</mi><mo>=</mo><mi>cos</mi><mo>(</mo><mn>2</mn><mo>*</mo><mi>u</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S3</mi><mo>=</mo><mi>tan</mi><mo>(</mo><mn>2</mn><mo>*</mo><mi>u</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sin</mi><mfenced><mi>u</mi></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cos</mi><mfenced><mi>u</mi></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tan</mi><mfenced><mi>u</mi></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sin</mi><mfenced><mrow><mn>2</mn><mo>*</mo><mi>u</mi></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cos</mi><mfenced><mrow><mn>2</mn><mo>*</mo><mi>u</mi></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tan</mi><mfenced><mrow><mn>2</mn><mo>*</mo><mi>u</mi></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#S2</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question>
SP.IX.X.trig.007.3
#t3 #s3, atunci sin(2u) = ... .]]>
1.0000000
0.3333333
0
0
#S1
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>=</mo><mi>random</mi><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>u</mi><mo>=</mo><mi>random</mi><mo>{</mo><mo>-</mo><pi/><mo>/</mo><mn>8</mn><mo>,</mo><mo>-</mo><pi/><mo>/</mo><mn>12</mn><mo>,</mo><pi/><mo>/</mo><mn>8</mn><mo>,</mo><pi/><mo>/</mo><mn>12</mn><mo>,</mo><mn>5</mn><mo>*</mo><pi/><mo>/</mo><mn>12</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi><mo>=</mo><mo>"</mo><mi>Dacă</mi><mo> </mo><mi>u</mi><mo> </mo><mo>∈</mo><mo>(</mo><mo> </mo><mfrac><mrow><mo>-</mo><pi/></mrow><mn>2</mn></mfrac><mo>,</mo><mo> </mo><mfrac><pi/><mn>2</mn></mfrac><mo>)</mo><mo> </mo><mi>și</mi><mo> </mo><mi>sin</mi><mo>(</mo><mi>u</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t2</mi><mo>=</mo><mo>"</mo><mi>Dacă</mi><mo> </mo><mi>u</mi><mo> </mo><mo>∈</mo><mo>(</mo><mo> </mo><mfrac><mrow><mo>-</mo><pi/></mrow><mn>2</mn></mfrac><mo>,</mo><mo> </mo><mfrac><pi/><mn>2</mn></mfrac><mo>)</mo><mo> </mo><mi>și</mi><mo> </mo><mi>cos</mi><mo>(</mo><mi>u</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t3</mi><mo>=</mo><mo>"</mo><mi>Dacă</mi><mo> </mo><mi>u</mi><mo> </mo><mo>∈</mo><mo>(</mo><mo> </mo><mfrac><mrow><mo>-</mo><pi/></mrow><mn>2</mn></mfrac><mo>,</mo><mo> </mo><mfrac><pi/><mn>2</mn></mfrac><mo>)</mo><mo> </mo><mi>și</mi><mo> </mo><mi>tg</mi><mo>(</mo><mi>u</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi><mo>=</mo><mi>sin</mi><mo>(</mo><mi>u</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2</mi><mo>=</mo><mi>cos</mi><mo>(</mo><mi>u</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s3</mi><mo>=</mo><mi>tan</mi><mo>(</mo><mi>u</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S1</mi><mo>=</mo><mi>sin</mi><mo>(</mo><mn>2</mn><mo>*</mo><mi>u</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S2</mi><mo>=</mo><mi>cos</mi><mo>(</mo><mn>2</mn><mo>*</mo><mi>u</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S3</mi><mo>=</mo><mi>tan</mi><mo>(</mo><mn>2</mn><mo>*</mo><mi>u</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sin</mi><mfenced><mi>u</mi></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cos</mi><mfenced><mi>u</mi></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tan</mi><mfenced><mi>u</mi></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sin</mi><mfenced><mrow><mn>2</mn><mo>*</mo><mi>u</mi></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cos</mi><mfenced><mrow><mn>2</mn><mo>*</mo><mi>u</mi></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tan</mi><mfenced><mrow><mn>2</mn><mo>*</mo><mi>u</mi></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#S1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question>
SP.IX.X.trig.007.4
#t3 #s3, atunci cos(2u) = ... .]]>
1.0000000
0.3333333
0
0
#S2
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>=</mo><mi>random</mi><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>u</mi><mo>=</mo><mi>random</mi><mo>{</mo><mo>-</mo><pi/><mo>/</mo><mn>8</mn><mo>,</mo><mo>-</mo><pi/><mo>/</mo><mn>12</mn><mo>,</mo><pi/><mo>/</mo><mn>8</mn><mo>,</mo><pi/><mo>/</mo><mn>12</mn><mo>,</mo><mn>5</mn><mo>*</mo><pi/><mo>/</mo><mn>12</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi><mo>=</mo><mo>"</mo><mi>Dacă</mi><mo> </mo><mi>u</mi><mo> </mo><mo>∈</mo><mo>(</mo><mo> </mo><mfrac><mrow><mo>-</mo><pi/></mrow><mn>2</mn></mfrac><mo>,</mo><mo> </mo><mfrac><pi/><mn>2</mn></mfrac><mo>)</mo><mo> </mo><mi>și</mi><mo> </mo><mi>sin</mi><mo>(</mo><mi>u</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t2</mi><mo>=</mo><mo>"</mo><mi>Dacă</mi><mo> </mo><mi>u</mi><mo> </mo><mo>∈</mo><mo>(</mo><mo> </mo><mfrac><mrow><mo>-</mo><pi/></mrow><mn>2</mn></mfrac><mo>,</mo><mo> </mo><mfrac><pi/><mn>2</mn></mfrac><mo>)</mo><mo> </mo><mi>și</mi><mo> </mo><mi>cos</mi><mo>(</mo><mi>u</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t3</mi><mo>=</mo><mo>"</mo><mi>Dacă</mi><mo> </mo><mi>u</mi><mo> </mo><mo>∈</mo><mo>(</mo><mo> </mo><mfrac><mrow><mo>-</mo><pi/></mrow><mn>2</mn></mfrac><mo>,</mo><mo> </mo><mfrac><pi/><mn>2</mn></mfrac><mo>)</mo><mo> </mo><mi>și</mi><mo> </mo><mi>tg</mi><mo>(</mo><mi>u</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi><mo>=</mo><mi>sin</mi><mo>(</mo><mi>u</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2</mi><mo>=</mo><mi>cos</mi><mo>(</mo><mi>u</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s3</mi><mo>=</mo><mi>tan</mi><mo>(</mo><mi>u</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S1</mi><mo>=</mo><mi>sin</mi><mo>(</mo><mn>2</mn><mo>*</mo><mi>u</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S2</mi><mo>=</mo><mi>cos</mi><mo>(</mo><mn>2</mn><mo>*</mo><mi>u</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S3</mi><mo>=</mo><mi>tan</mi><mo>(</mo><mn>2</mn><mo>*</mo><mi>u</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sin</mi><mfenced><mi>u</mi></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cos</mi><mfenced><mi>u</mi></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tan</mi><mfenced><mi>u</mi></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sin</mi><mfenced><mrow><mn>2</mn><mo>*</mo><mi>u</mi></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cos</mi><mfenced><mrow><mn>2</mn><mo>*</mo><mi>u</mi></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tan</mi><mfenced><mrow><mn>2</mn><mo>*</mo><mi>u</mi></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#S2</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question>
SP.IX.X.trig.007.5
#t3 #s3, atunci tg(2u) = ... .]]>
1.0000000
0.3333333
0
0
#S3
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>=</mo><mi>random</mi><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>u</mi><mo>=</mo><mi>random</mi><mo>{</mo><mo>-</mo><pi/><mo>/</mo><mn>8</mn><mo>,</mo><mo>-</mo><pi/><mo>/</mo><mn>12</mn><mo>,</mo><pi/><mo>/</mo><mn>8</mn><mo>,</mo><pi/><mo>/</mo><mn>12</mn><mo>,</mo><mn>5</mn><mo>*</mo><pi/><mo>/</mo><mn>12</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi><mo>=</mo><mo>"</mo><mi>Dacă</mi><mo> </mo><mi>u</mi><mo> </mo><mo>∈</mo><mo>(</mo><mo> </mo><mfrac><mrow><mo>-</mo><pi/></mrow><mn>2</mn></mfrac><mo>,</mo><mo> </mo><mfrac><pi/><mn>2</mn></mfrac><mo>)</mo><mo> </mo><mi>și</mi><mo> </mo><mi>sin</mi><mo>(</mo><mi>u</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t2</mi><mo>=</mo><mo>"</mo><mi>Dacă</mi><mo> </mo><mi>u</mi><mo> </mo><mo>∈</mo><mo>(</mo><mo> </mo><mfrac><mrow><mo>-</mo><pi/></mrow><mn>2</mn></mfrac><mo>,</mo><mo> </mo><mfrac><pi/><mn>2</mn></mfrac><mo>)</mo><mo> </mo><mi>și</mi><mo> </mo><mi>cos</mi><mo>(</mo><mi>u</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t3</mi><mo>=</mo><mo>"</mo><mi>Dacă</mi><mo> </mo><mi>u</mi><mo> </mo><mo>∈</mo><mo>(</mo><mo> </mo><mfrac><mrow><mo>-</mo><pi/></mrow><mn>2</mn></mfrac><mo>,</mo><mo> </mo><mfrac><pi/><mn>2</mn></mfrac><mo>)</mo><mo> </mo><mi>și</mi><mo> </mo><mi>tg</mi><mo>(</mo><mi>u</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi><mo>=</mo><mi>sin</mi><mo>(</mo><mi>u</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2</mi><mo>=</mo><mi>cos</mi><mo>(</mo><mi>u</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s3</mi><mo>=</mo><mi>tan</mi><mo>(</mo><mi>u</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S1</mi><mo>=</mo><mi>sin</mi><mo>(</mo><mn>2</mn><mo>*</mo><mi>u</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S2</mi><mo>=</mo><mi>cos</mi><mo>(</mo><mn>2</mn><mo>*</mo><mi>u</mi><mo>)</mo></math></input></command><command><input><math 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xmlns="http://www.w3.org/1998/Math/MathML"><mi>sin</mi><mfenced><mrow><mn>2</mn><mo>*</mo><mi>u</mi></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cos</mi><mfenced><mrow><mn>2</mn><mo>*</mo><mi>u</mi></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tan</mi><mfenced><mrow><mn>2</mn><mo>*</mo><mi>u</mi></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#S3</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question>
SP.Tf.trig.0012
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»(«/mo»«mo»§#8704;«/mo»«mo»)«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#160;«/mo»«mo»§#8712;«/mo»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»§#8477;«/mi»«mo»,«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»t«/mi»«mo»§#160;«/mo»«mo».«/mo»«/math»]]>
1.0000000
1.0000000
0
True
False
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>i</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>T</mi><mo>=</mo><mo>{</mo><mo>"</mo><mi>cos</mi><mo>(</mo><mn>2</mn><mi>x</mi><mo>)</mo><mo>=</mo><mn>1</mn><mo>-</mo><msup><mi>sin</mi><mn>2</mn></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>"</mo><mo>,</mo><mo>"</mo><mi>cos</mi><mo>(</mo><mn>2</mn><mi>x</mi><mo>)</mo><mo>=</mo><mn>2</mn><mo>*</mo><msup><mi>cos</mi><mn>2</mn></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>-</mo><mn>1</mn><mo>"</mo><mo>,</mo><mo>"</mo><mi>sin</mi><mo>(</mo><mo>-</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>-</mo><mi>sin</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>"</mo><mo>,</mo><mo>"</mo><mi>cos</mi><mo>(</mo><mn>2</mn><mi>x</mi><mo>)</mo><mo>=</mo><mn>2</mn><mo>*</mo><msup><mi>sin</mi><mn>2</mn></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>-</mo><mn>1</mn><mo>"</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S</mi><mo>=</mo><mo>{</mo><mi>false</mi><mo>,</mo><mi>true</mi><mo>,</mo><mi>true</mi><mo>,</mo><mi>false</mi><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><msub><mi>T</mi><mi>i</mi></msub></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi><mo>=</mo><msub><mi>S</mi><mi>i</mi></msub></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>i</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><ms>sin(</ms><mo>-</mo><ms>x)</ms><mo>=</mo><mo>-</mo><ms>sin(x)</ms></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>true</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><options><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question>
SP.Tf.trig.0013
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»(«/mo»«mo»§#8704;«/mo»«mo»)«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#160;«/mo»«mo»§#8712;«/mo»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»§#8477;«/mi»«mo»,«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»t«/mi»«mo»§#160;«/mo»«mo».«/mo»«/math»]]>
1.0000000
1.0000000
0
True
False
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>i</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>T</mi><mo>=</mo><mo>{</mo><mo>"</mo><msup><mi>cos</mi><mn>2</mn></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mn>1</mn><mo>-</mo><msup><mi>sin</mi><mn>2</mn></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>"</mo><mo>,</mo><mo>"</mo><msup><mi>cos</mi><mn>2</mn></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mn>1</mn><mo>-</mo><mn>2</mn><mo>*</mo><msup><mi>sin</mi><mn>2</mn></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>"</mo><mo>,</mo><mo>"</mo><mi>cos</mi><mo>(</mo><mo>-</mo><mi>x</mi><mo>)</mo><mo>=</mo><mi>cos</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>"</mo><mo>,</mo><mo>"</mo><mi>cos</mi><mo>(</mo><mn>2</mn><mi>x</mi><mo>)</mo><mo>=</mo><mo>-</mo><mn>2</mn><mo>*</mo><msup><mi>sin</mi><mn>2</mn></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>+</mo><mn>1</mn><mo>"</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S</mi><mo>=</mo><mo>{</mo><mi>true</mi><mo>,</mo><mi>false</mi><mo>,</mo><mi>true</mi><mo>,</mo><mi>true</mi><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><msub><mi>T</mi><mi>i</mi></msub></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi><mo>=</mo><msub><mi>S</mi><mi>i</mi></msub></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>i</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><ms>cos</ms><mn>2</mn></msup><ms>(x)</ms><mo>=</mo><ms>1</ms><mo>-</mo><ms>2</ms><mo>*</mo><msup><ms>sin</ms><mn>2</mn></msup><ms>(x)</ms></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>false</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><options><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question>
SP.Tf.trig.0014
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»(«/mo»«mo»§#8704;«/mo»«mo»)«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#160;«/mo»«mo»§#8712;«/mo»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»§#8477;«/mi»«mo»,«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»t«/mi»«mo»§#160;«/mo»«mo».«/mo»«/math»]]>
1.0000000
1.0000000
0
True
False
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>i</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>T</mi><mo>=</mo><mo>{</mo><mo>"</mo><msup><mi>cos</mi><mn>2</mn></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mfrac><mrow><mn>1</mn><mo>+</mo><mi>cos</mi><mo>(</mo><mn>2</mn><mi>x</mi><mo>)</mo></mrow><mn>2</mn></mfrac><mo>"</mo><mo>,</mo><mo>"</mo><mi>tg</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mfrac><mrow><mi>sin</mi><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mrow><mi>cos</mi><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mfrac><mo>"</mo><mo>,</mo><mo>"</mo><mi>cos</mi><mo>(</mo><pi/><mo>-</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>-</mo><mi>cos</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>"</mo><mo>,</mo><mo>"</mo><mi>cos</mi><mo>(</mo><mn>2</mn><mi>x</mi><mo>)</mo><mo>=</mo><msup><mi>cos</mi><mn>2</mn></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>-</mo><msup><mi>sin</mi><mn>2</mn></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>"</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S</mi><mo>=</mo><mo>{</mo><mi>true</mi><mo>,</mo><mi>false</mi><mo>,</mo><mi>true</mi><mo>,</mo><mi>true</mi><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><msub><mi>T</mi><mi>i</mi></msub></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi><mo>=</mo><msub><mi>S</mi><mi>i</mi></msub></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>i</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><ms>cos(2x)</ms><mo>=</mo><msup><ms>cos</ms><mn>2</mn></msup><ms>(x)</ms><mo>-</mo><msup><ms>sin</ms><mn>2</mn></msup><ms>(x)</ms></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>true</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><options><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question>
SP.Tf.trig.0015
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»(«/mo»«mo»§#8704;«/mo»«mo»)«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#160;«/mo»«mo»§#8712;«/mo»«mo»§#160;«/mo»«mo»[«/mo»«mo»§#160;«/mo»«mn»0«/mn»«mo»,«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mn»2«/mn»«mo»§#183;«/mo»«mi mathvariant=¨normal¨»§#960;«/mi»«mo»§#160;«/mo»«mo»]«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»t«/mi»«mo»§#160;«/mo»«mo».«/mo»«/math»]]>
1.0000000
1.0000000
0
True
False
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>i</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>T</mi><mo>=</mo><mo>{</mo><mo>"</mo><mi>sin</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>⩽</mo><mi>x</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>tg</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mfrac><mrow><mi>sin</mi><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mrow><mi>cos</mi><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mfrac><mo>"</mo><mo>,</mo><mo>"</mo><mi>sin</mi><mo>(</mo><mn>3</mn><mi>x</mi><mo>)</mo><mo>=</mo><mn>3</mn><mo>*</mo><mi>sin</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>-</mo><mn>4</mn><mo>*</mo><msup><mi>sin</mi><mn>3</mn></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>"</mo><mo>,</mo><mo>"</mo><mi>cos</mi><mo>(</mo><mn>3</mn><mi>x</mi><mo>)</mo><mo>=</mo><mn>3</mn><mo>*</mo><mi>cos</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>-</mo><mn>4</mn><msup><mi>cos</mi><mn>3</mn></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>"</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S</mi><mo>=</mo><mo>{</mo><mi>true</mi><mo>,</mo><mi>false</mi><mo>,</mo><mi>true</mi><mo>,</mo><mi>false</mi><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><msub><mi>T</mi><mi>i</mi></msub></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi><mo>=</mo><msub><mi>S</mi><mi>i</mi></msub></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>i</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><ms>cos(2x)</ms><mo>=</mo><msup><ms>cos</ms><mn>2</mn></msup><ms>(x)</ms><mo>-</mo><msup><ms>sin</ms><mn>2</mn></msup><ms>(x)</ms></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>true</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><options><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question>
SP.Tf.trig.0016
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»(«/mo»«mo»§#8704;«/mo»«mo»)«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#160;«/mo»«mo»§#8712;«/mo»«mo»§#160;«/mo»«mo»[«/mo»«mo»§#160;«/mo»«mn»0«/mn»«mo»,«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mn»2«/mn»«mo»§#183;«/mo»«mi mathvariant=¨normal¨»§#960;«/mi»«mo»§#160;«/mo»«mo»]«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»t«/mi»«mo»§#160;«/mo»«mo».«/mo»«/math»]]>
1.0000000
1.0000000
0
True
False
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SP.trig.ec.001
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1.0000000
0.3333333
0
0
#s1]]>
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>{</mo><mn>1</mn><mo>/</mo><mn>2</mn><mo>,</mo><msqrt><mn>2</mn></msqrt><mo>/</mo><mn>2</mn><mo>,</mo><msqrt><mn>3</mn></msqrt><mo>/</mo><mn>2</mn><mo>,</mo><mo>-</mo><mn>1</mn><mo>/</mo><mn>2</mn><mo>,</mo><mo>-</mo><msqrt><mn>2</mn></msqrt><mo>/</mo><mn>2</mn><mo>,</mo><mo>-</mo><msqrt><mn>3</mn></msqrt><mo>/</mo><mn>2</mn><mo>,</mo><mn>0</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S</mi><mo>=</mo><mi>solve</mi><mo>(</mo><mi>sin</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mi>a</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi><mo>=</mo><mo>{</mo><msub><mi>S</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub><mo>,</mo><msub><mi>S</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub><mo>}</mo><mo>∩</mo><mi>interval_close_close</mi><mo>(</mo><mo>-</mo><pi/><mo>/</mo><mn>2</mn><mo>,</mo><pi/><mo>/</mo><mn>2</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi><mo>=</mo><msub><mi>s</mi><mn>1</mn></msub></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><msqrt><mn>3</mn></msqrt><mn>2</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mfrac><mrow><mn>4</mn><mo>*</mo><pi/></mrow><mn>3</mn></mfrac></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mfrac><pi/><mn>3</mn></mfrac></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mo>-</mo><mfrac><pi/><mn>3</mn></mfrac></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>s</mi><mn>1</mn></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><pi/><mn>3</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><pi/><mo>/</mo><mn>6</mn><mo>.</mo><mo>=</mo><mn>0</mn><mo>.</mo><mn>5236</mn><mo>?</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>false</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><pi/><mo>/</mo><mn>6</mn><mo>.</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.5236</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">s</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", $, ¥, €, £, kr, Fr, ₩, ₹, руб, BTC, %, ‰, A, K, mol, cd, rad, sr, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="decimalseparators">., \,</param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="relative_tolerance">true</option><option name="tolerance">10^(-2)</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
SP.trig.ec.005
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1.0000000
0.3333333
0
0
#s2]]>
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>{</mo><mn>1</mn><mo>,</mo><msqrt><mn>3</mn></msqrt><mo>/</mo><mn>3</mn><mo>,</mo><msqrt><mn>3</mn></msqrt><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S</mi><mo>=</mo><mi>solve</mi><mo>(</mo><mi>tan</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>-</mo><mi>a</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi><mo>=</mo><mo>{</mo><msub><mi>S</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub><mo>,</mo><msub><mi>S</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub><mo>}</mo><mo>∩</mo><mi>interval_close_close</mi><mo>(</mo><mo>-</mo><pi/><mo>,</mo><mn>0</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi><mo>=</mo><msub><mi>s</mi><mn>1</mn></msub></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2</mi><mo>=</mo><mi>s1</mi><mo>+</mo><pi/></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msqrt><mn>3</mn></msqrt></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mfrac><mrow><mn>4</mn><mo>*</mo><pi/></mrow><mn>3</mn></mfrac></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mfrac><pi/><mn>3</mn></mfrac></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mo>-</mo><mfrac><pi/><mn>3</mn></mfrac></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>s</mi><mn>1</mn></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><pi/><mn>3</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>2</mn><mo>*</mo><pi/></mrow><mn>3</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">s</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", $, ¥, €, £, kr, Fr, ₩, ₹, руб, BTC, %, ‰, A, K, mol, cd, rad, sr, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="decimalseparators">., \,</param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_equations"/></assertions><options><option name="relative_tolerance">true</option><option name="tolerance">10^(-2)</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
SP.Trig.IX.X.001
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»u«/mi»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»u«/mi»«mspace linebreak=¨newline¨/»«mo»#«/mo»«mi»t«/mi»«mn»1«/mn»«/math»]]>
1.0000000
0.3333333
0
0
#s1
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SP.Trig.IX.X.003
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»u«/mi»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»u«/mi»«mspace linebreak=¨newline¨/»«/math»
#t3
]]>
1.0000000
0.3333333
0
0
#s3
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>=</mo><mi>random</mi><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>V</mi><mo>=</mo><mi>random</mi><mo>{</mo><mn>0</mn><mo>,</mo><pi/><mo>/</mo><mn>2</mn><mo>,</mo><pi/><mo>,</mo><mn>3</mn><mo>*</mo><pi/><mo>/</mo><mn>2</mn><mo>,</mo><mn>2</mn><mo>*</mo><pi/><mo>,</mo><mn>3</mn><mo>*</mo><pi/><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>u</mi><mo>=</mo><pi/><mo>/</mo><mn>8</mn><mo>+</mo><mi>V</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi><mo>=</mo><mo>"</mo><mi>sin</mi><mo>(</mo><mi>u</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo>.</mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t2</mi><mo>=</mo><mo>"</mo><mi>cos</mi><mo>(</mo><mi>u</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo>.</mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t3</mi><mo>=</mo><mo>"</mo><mi>tg</mi><mo>(</mo><mi>u</mi><mo>)</mo><mo>=</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo>.</mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi><mo>=</mo><mi>sin</mi><mo>(</mo><mi>u</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2</mi><mo>=</mo><mi>cos</mi><mo>(</mo><mi>u</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s3</mi><mo>=</mo><mi>tan</mi><mo>(</mo><mi>u</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>u</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>5</mn><mo>*</mo><pi/></mrow><mn>8</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><msqrt><mrow><msqrt><mn>2</mn></msqrt><mo>+</mo><mn>2</mn></mrow></msqrt><mn>2</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><msqrt><mrow><mo>-</mo><msqrt><mn>2</mn></msqrt><mo>+</mo><mn>2</mn></mrow></msqrt><mn>2</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><msqrt><mn>2</mn></msqrt><mo>-</mo><mn>1</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#s3</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
SP.X.ec.grd.trig.001.N
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»O«/mi»«mo»§#160;«/mo»«mi»s«/mi»«mi»o«/mi»«mi»l«/mi»«mi»u«/mi»«mi»§#539;«/mi»«mi»i«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»a«/mi»«mo»§#160;«/mo»«mi»e«/mi»«mi»c«/mi»«mi»u«/mi»«mi»a«/mi»«mi»§#539;«/mi»«mi»i«/mi»«mi»e«/mi»«mi»i«/mi»«mo»§#160;«/mo»«mo»#«/mo»«mi»t«/mi»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»a«/mi»«mo»§#160;«/mo»«mi»i«/mi»«mi»n«/mi»«mo»§#160;«/mo»«mi»i«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mi»r«/mi»«mi»v«/mi»«mi»a«/mi»«mi»l«/mi»«mi»u«/mi»«mi»l«/mi»«mo»§#160;«/mo»«mo»[«/mo»«mo»§#160;«/mo»«mo»-«/mo»«mo»#«/mo»«mi»v«/mi»«mo»,«/mo»«mo»§#160;«/mo»«mo»-«/mo»«mo»#«/mo»«mi»u«/mi»«mo»§#160;«/mo»«mo»)«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mi»e«/mi»«mi»s«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mo».«/mo»«mo».«/mo»«mo».«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo».«/mo»«/math»]]>
1.0000000
0.3333333
0
0
#w
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>{</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>,</mo><mo>-</mo><mn>1</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>T</mi><mo>=</mo><mo>{</mo><mo>"</mo><mi>sin</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>"</mo><mo>,</mo><mo>"</mo><mi>cos</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>"</mo><mo>,</mo><mo>"</mo><mi>tg</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>"</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>i</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>F</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>{</mo><mi>sin</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>,</mo><mi>cos</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>,</mo><mi>tan</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mi>F</mi><mo>(</mo><mi>x</mi><msub><mo>)</mo><mi>i</mi></msub></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><msub><mi>T</mi><mi>i</mi></msub></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>u</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>15</mn><mo>)</mo><mo>*</mo><pi/></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v</mi><mo>=</mo><mi>u</mi><mo>+</mo><mn>2</mn><mo>*</mo><pi/></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>:</mo><mo>=</mo><mo>(</mo><mi>x</mi><mo>⩾</mo><mo>-</mo><mi>v</mi><mo>∧</mo><mi>x</mi><mo><</mo><mo>-</mo><mi>u</mi><mo>∧</mo><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mi>a</mi><mo>)</mo><mo>?</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>w</mi><mo>=</mo><mo>"</mo><mi>Pot</mi><mo> </mo><mi>exista</mi><mo> </mo><mi>mai</mi><mo> </mo><mi>multe</mi><mo> </mo><mi>soluții</mi><mo> </mo><mo>!</mo><mo>"</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>u</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn><mo>*</mo><pi/></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6</mn><mo>*</mo><pi/></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tan</mi><mfenced><mi>x</mi></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>(</mo><mn>4</mn><mo>*</mo><pi/><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>false</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#w</correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", $, ¥, €, £, kr, Fr, ₩, ₹, руб, BTC, %, ‰, A, K, mol, cd, rad, sr, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="decimalseparators">., \,</param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_function"><param name="name">g</param><param name="notevaluate">false</param></assertion></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
SP.X.v.trig.0017.1
a = #a, #t1]]>
1.0000000
0.3333333
0
0
#s1
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>i</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mo>{</mo><pi/><mo>/</mo><mn>3</mn><mo>,</mo><pi/><mo>/</mo><mn>4</mn><mo>,</mo><pi/><mo>/</mo><mn>6</mn><mo>,</mo><mo>-</mo><pi/><mo>/</mo><mn>3</mn><mo>,</mo><mo>-</mo><pi/><mo>/</mo><mn>4</mn><mo>,</mo><mo>-</mo><pi/><mo>/</mo><mn>6</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo><mo>*</mo><mi>random</mi><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>*</mo><pi/></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><msub><mi>A</mi><mi>i</mi></msub><mo>+</mo><mi>m</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi><mo>=</mo><mi>sin</mi><mo>(</mo><mi>a</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2</mi><mo>=</mo><mi>cos</mi><mo>(</mo><mi>a</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s3</mi><mo>=</mo><mi>tan</mi><mo>(</mo><mi>a</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s4</mi><mo>=</mo><mi>cotan</mi><mo>(</mo><mi>a</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi><mo>=</mo><mo>"</mo><mo> </mo><mi>sin</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo> </mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t2</mi><mo>=</mo><mo>"</mo><mo> </mo><mi>cos</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t3</mi><mo>=</mo><mo>"</mo><mo> </mo><mi>tg</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t4</mi><mo>=</mo><mo> </mo><mo>"</mo><mi>ctg</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mrow><mn>7</mn><mo>*</mo><pi/></mrow><mn>6</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>2</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s4</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><msqrt><mn>3</mn></msqrt></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#s1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
SP.X.v.trig.0017.1C
a = #a, #tC]]>
1.0000000
0.3333333
0
0
#sC
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>i</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mo>{</mo><pi/><mo>/</mo><mn>3</mn><mo>,</mo><pi/><mo>/</mo><mn>4</mn><mo>,</mo><pi/><mo>/</mo><mn>6</mn><mo>,</mo><mo>-</mo><pi/><mo>/</mo><mn>3</mn><mo>,</mo><mo>-</mo><pi/><mo>/</mo><mn>4</mn><mo>,</mo><mo>-</mo><pi/><mo>/</mo><mn>6</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo><mo>*</mo><mi>random</mi><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>*</mo><pi/></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><msub><mi>A</mi><mi>i</mi></msub><mo>+</mo><mi>m</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi><mo>=</mo><mi>sin</mi><mo>(</mo><mi>a</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2</mi><mo>=</mo><mi>cos</mi><mo>(</mo><mi>a</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s3</mi><mo>=</mo><mi>tan</mi><mo>(</mo><mi>a</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s4</mi><mo>=</mo><mi>cotan</mi><mo>(</mo><mi>a</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi><mo>=</mo><mo>"</mo><mo> </mo><mi>sin</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo> </mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t2</mi><mo>=</mo><mo>"</mo><mo> </mo><mi>cos</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t3</mi><mo>=</mo><mo>"</mo><mo> </mo><mi>tg</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t4</mi><mo>=</mo><mo> </mo><mo>"</mo><mi>ctg</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tA</mi><mo>=</mo><mo>"</mo><mi>arcsin</mi><mo>(</mo><mo>(</mo><mi>cos</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo> </mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tB</mi><mo>=</mo><mo>"</mo><mi>arccos</mi><mo>(</mo><mi>sin</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tC</mi><mo>=</mo><mo>"</mo><mo> </mo><mi>arctg</mi><mo>(</mo><mi>ctg</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tD</mi><mo>=</mo><mo>"</mo><mi>arcctg</mi><mo>(</mo><mi>tg</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sA</mi><mo>=</mo><mi>asin</mi><mo>(</mo><mi>cos</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sB</mi><mo>=</mo><mi>acos</mi><mo>(</mo><mi>sin</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sC</mi><mo>=</mo><mi>atan</mi><mo>(</mo><mi>cotan</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sD</mi><mo>=</mo><mi>acotan</mi><mo>(</mo><mi>tan</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mrow><mn>13</mn><mo>*</mo><pi/></mrow><mn>4</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sin</mi><mo>(</mo><mi>a</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><msqrt><mn>2</mn></msqrt><mn>2</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cos</mi><mo>(</mo><mi>a</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><msqrt><mn>2</mn></msqrt><mn>2</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tan</mi><mo>(</mo><mi>a</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cotan</mi><mo>(</mo><mi>a</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>asin</mi><mo>(</mo><mn>1</mn><mo>/</mo><mn>2</mn><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.5236</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sA</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><pi/><mn>4</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sB</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><pi/><mn>4</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sC</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><pi/><mn>4</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sD</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><pi/><mn>4</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sE</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sE</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sF</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sF</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1a</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2b</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2b</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s3c</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s3c</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s4d</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s4d</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><msqrt><mn>2</mn></msqrt><mn>2</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s4</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>1</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#sC</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question>
SP.X.v.trig.0017.1c.1
a = #a, #t3c]]>
1.0000000
0.3333333
0
0
#s3c
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>i</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mo>{</mo><pi/><mo>/</mo><mn>3</mn><mo>,</mo><pi/><mo>/</mo><mn>4</mn><mo>,</mo><pi/><mo>/</mo><mn>6</mn><mo>,</mo><mo>-</mo><pi/><mo>/</mo><mn>3</mn><mo>,</mo><mo>-</mo><pi/><mo>/</mo><mn>4</mn><mo>,</mo><mo>-</mo><pi/><mo>/</mo><mn>6</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo><mo>*</mo><mi>random</mi><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>*</mo><pi/></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><msub><mi>A</mi><mi>i</mi></msub><mo>+</mo><mi>m</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi><mo>=</mo><mi>sin</mi><mo>(</mo><mi>a</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2</mi><mo>=</mo><mi>cos</mi><mo>(</mo><mi>a</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s3</mi><mo>=</mo><mi>tan</mi><mo>(</mo><mi>a</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s4</mi><mo>=</mo><mi>cotan</mi><mo>(</mo><mi>a</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi><mo>=</mo><mo>"</mo><mo> </mo><mi>sin</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo> </mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t2</mi><mo>=</mo><mo>"</mo><mo> </mo><mi>cos</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t3</mi><mo>=</mo><mo>"</mo><mo> </mo><mi>tg</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t4</mi><mo>=</mo><mo> </mo><mo>"</mo><mi>ctg</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1a</mi><mo>=</mo><mo>"</mo><mi>arcsin</mi><mo>(</mo><mo>(</mo><mi>sina</mi><mo>)</mo><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo> </mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t2b</mi><mo>=</mo><mo>"</mo><mo> </mo><mi>arccos</mi><mo>(</mo><mi>cos</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t3c</mi><mo>=</mo><mo>"</mo><mo> </mo><mi>arctg</mi><mo>(</mo><mi>tg</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t4d</mi><mo>=</mo><mo> </mo><mo>"</mo><mi>arcctg</mi><mo>(</mo><mi>ctg</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1a</mi><mo>=</mo><mi>asin</mi><mo>(</mo><mi>sin</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2b</mi><mo>=</mo><mi>acos</mi><mo>(</mo><mi>cos</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s3c</mi><mo>=</mo><mi>atan</mi><mo>(</mo><mi>tan</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s4d</mi><mo>=</mo><mi>acotan</mi><mo>(</mo><mi>cotan</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>19</mn><mo>*</mo><pi/></mrow><mn>4</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><pi/><mn>4</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2b</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>3</mn><mo>*</mo><pi/></mrow><mn>4</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s3c</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><pi/><mn>4</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s4d</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><pi/><mn>4</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><msqrt><mn>2</mn></msqrt><mn>2</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s4</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>1</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#s3c</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question>
SP.X.v.trig.0017.1D
a = #a, #tD]]>
1.0000000
0.3333333
0
0
#sD
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>i</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mo>{</mo><pi/><mo>/</mo><mn>3</mn><mo>,</mo><pi/><mo>/</mo><mn>4</mn><mo>,</mo><pi/><mo>/</mo><mn>6</mn><mo>,</mo><mo>-</mo><pi/><mo>/</mo><mn>3</mn><mo>,</mo><mo>-</mo><pi/><mo>/</mo><mn>4</mn><mo>,</mo><mo>-</mo><pi/><mo>/</mo><mn>6</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo><mo>*</mo><mi>random</mi><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>*</mo><pi/></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><msub><mi>A</mi><mi>i</mi></msub><mo>+</mo><mi>m</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi><mo>=</mo><mi>sin</mi><mo>(</mo><mi>a</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2</mi><mo>=</mo><mi>cos</mi><mo>(</mo><mi>a</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s3</mi><mo>=</mo><mi>tan</mi><mo>(</mo><mi>a</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s4</mi><mo>=</mo><mi>cotan</mi><mo>(</mo><mi>a</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi><mo>=</mo><mo>"</mo><mo> </mo><mi>sin</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo> </mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t2</mi><mo>=</mo><mo>"</mo><mo> </mo><mi>cos</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t3</mi><mo>=</mo><mo>"</mo><mo> </mo><mi>tg</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t4</mi><mo>=</mo><mo> </mo><mo>"</mo><mi>ctg</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tA</mi><mo>=</mo><mo>"</mo><mi>arcsin</mi><mo>(</mo><mo>(</mo><mi>cos</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo> </mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tB</mi><mo>=</mo><mo>"</mo><mi>arccos</mi><mo>(</mo><mi>sin</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tC</mi><mo>=</mo><mo>"</mo><mo> </mo><mi>arctg</mi><mo>(</mo><mi>ctg</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tD</mi><mo>=</mo><mo>"</mo><mi>arcctg</mi><mo>(</mo><mi>tg</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sA</mi><mo>=</mo><mi>asin</mi><mo>(</mo><mi>cos</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sB</mi><mo>=</mo><mi>acos</mi><mo>(</mo><mi>sin</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sC</mi><mo>=</mo><mi>atan</mi><mo>(</mo><mi>cotan</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sD</mi><mo>=</mo><mi>acotan</mi><mo>(</mo><mi>tan</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mrow><mn>13</mn><mo>*</mo><pi/></mrow><mn>4</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sin</mi><mo>(</mo><mi>a</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><msqrt><mn>2</mn></msqrt><mn>2</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cos</mi><mo>(</mo><mi>a</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><msqrt><mn>2</mn></msqrt><mn>2</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tan</mi><mo>(</mo><mi>a</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cotan</mi><mo>(</mo><mi>a</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>asin</mi><mo>(</mo><mn>1</mn><mo>/</mo><mn>2</mn><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.5236</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sA</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><pi/><mn>4</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sB</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><pi/><mn>4</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sC</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><pi/><mn>4</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sD</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><pi/><mn>4</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sE</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sE</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sF</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sF</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1a</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2b</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2b</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s3c</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s3c</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s4d</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s4d</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><msqrt><mn>2</mn></msqrt><mn>2</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s4</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>1</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#sD</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question>
SP.X.v.trig.0017.1d.1
a = #a, #t4d]]>
1.0000000
0.3333333
0
0
#s4.d
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>i</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mo>{</mo><pi/><mo>/</mo><mn>3</mn><mo>,</mo><pi/><mo>/</mo><mn>4</mn><mo>,</mo><pi/><mo>/</mo><mn>6</mn><mo>,</mo><mo>-</mo><pi/><mo>/</mo><mn>3</mn><mo>,</mo><mo>-</mo><pi/><mo>/</mo><mn>4</mn><mo>,</mo><mo>-</mo><pi/><mo>/</mo><mn>6</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo><mo>*</mo><mi>random</mi><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>*</mo><pi/></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><msub><mi>A</mi><mi>i</mi></msub><mo>+</mo><mi>m</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi><mo>=</mo><mi>sin</mi><mo>(</mo><mi>a</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2</mi><mo>=</mo><mi>cos</mi><mo>(</mo><mi>a</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s3</mi><mo>=</mo><mi>tan</mi><mo>(</mo><mi>a</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s4</mi><mo>=</mo><mi>cotan</mi><mo>(</mo><mi>a</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi><mo>=</mo><mo>"</mo><mo> </mo><mi>sin</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo> </mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t2</mi><mo>=</mo><mo>"</mo><mo> </mo><mi>cos</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t3</mi><mo>=</mo><mo>"</mo><mo> </mo><mi>tg</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t4</mi><mo>=</mo><mo> </mo><mo>"</mo><mi>ctg</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1a</mi><mo>=</mo><mo>"</mo><mi>arcsin</mi><mo>(</mo><mo>(</mo><mi>sina</mi><mo>)</mo><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo> </mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t2b</mi><mo>=</mo><mo>"</mo><mo> </mo><mi>arccos</mi><mo>(</mo><mi>cos</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t3c</mi><mo>=</mo><mo>"</mo><mo> </mo><mi>arctg</mi><mo>(</mo><mi>tg</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t4d</mi><mo>=</mo><mo> </mo><mo>"</mo><mi>arcctg</mi><mo>(</mo><mi>ctg</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1a</mi><mo>=</mo><mi>asin</mi><mo>(</mo><mi>sin</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2b</mi><mo>=</mo><mi>acos</mi><mo>(</mo><mi>cos</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s3c</mi><mo>=</mo><mi>atan</mi><mo>(</mo><mi>tan</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s4d</mi><mo>=</mo><mi>acotan</mi><mo>(</mo><mi>cotan</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>19</mn><mo>*</mo><pi/></mrow><mn>4</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><pi/><mn>4</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2b</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>3</mn><mo>*</mo><pi/></mrow><mn>4</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s3c</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><pi/><mn>4</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s4d</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><pi/><mn>4</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><msqrt><mn>2</mn></msqrt><mn>2</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s4</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>1</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#s4.d</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question>
SP.X.v.trig.0017.2
a = #a, #t2]]>
1.0000000
0.3333333
0
0
#s2
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>i</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mo>{</mo><pi/><mo>/</mo><mn>3</mn><mo>,</mo><pi/><mo>/</mo><mn>4</mn><mo>,</mo><pi/><mo>/</mo><mn>6</mn><mo>,</mo><mo>-</mo><pi/><mo>/</mo><mn>3</mn><mo>,</mo><mo>-</mo><pi/><mo>/</mo><mn>4</mn><mo>,</mo><mo>-</mo><pi/><mo>/</mo><mn>6</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo><mo>*</mo><mi>random</mi><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>*</mo><pi/></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><msub><mi>A</mi><mi>i</mi></msub><mo>+</mo><mi>m</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi><mo>=</mo><mi>sin</mi><mo>(</mo><mi>a</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2</mi><mo>=</mo><mi>cos</mi><mo>(</mo><mi>a</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s3</mi><mo>=</mo><mi>tan</mi><mo>(</mo><mi>a</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s4</mi><mo>=</mo><mi>cotan</mi><mo>(</mo><mi>a</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi><mo>=</mo><mo>"</mo><mo> </mo><mi>sin</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo> </mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t2</mi><mo>=</mo><mo>"</mo><mo> </mo><mi>cos</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t3</mi><mo>=</mo><mo>"</mo><mo> </mo><mi>tg</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t4</mi><mo>=</mo><mo> </mo><mo>"</mo><mi>ctg</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mrow><mn>7</mn><mo>*</mo><pi/></mrow><mn>6</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>2</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s4</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><msqrt><mn>3</mn></msqrt></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#s2</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question>
SP.X.v.trig.0017.3
a = #a, #t3]]>
1.0000000
0.3333333
0
0
#s3
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>i</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mo>{</mo><pi/><mo>/</mo><mn>3</mn><mo>,</mo><pi/><mo>/</mo><mn>4</mn><mo>,</mo><pi/><mo>/</mo><mn>6</mn><mo>,</mo><mo>-</mo><pi/><mo>/</mo><mn>3</mn><mo>,</mo><mo>-</mo><pi/><mo>/</mo><mn>4</mn><mo>,</mo><mo>-</mo><pi/><mo>/</mo><mn>6</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo><mo>*</mo><mi>random</mi><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>*</mo><pi/></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><msub><mi>A</mi><mi>i</mi></msub><mo>+</mo><mi>m</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi><mo>=</mo><mi>sin</mi><mo>(</mo><mi>a</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2</mi><mo>=</mo><mi>cos</mi><mo>(</mo><mi>a</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s3</mi><mo>=</mo><mi>tan</mi><mo>(</mo><mi>a</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s4</mi><mo>=</mo><mi>cotan</mi><mo>(</mo><mi>a</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi><mo>=</mo><mo>"</mo><mo> </mo><mi>sin</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo> </mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t2</mi><mo>=</mo><mo>"</mo><mo> </mo><mi>cos</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t3</mi><mo>=</mo><mo>"</mo><mo> </mo><mi>tg</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t4</mi><mo>=</mo><mo> </mo><mo>"</mo><mi>ctg</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mrow><mn>7</mn><mo>*</mo><pi/></mrow><mn>6</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>2</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s4</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><msqrt><mn>3</mn></msqrt></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#s3</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question>
SP.X.v.trig.0017.4
a = #a, #t4]]>
1.0000000
0.3333333
0
0
#s4
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>i</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mo>{</mo><pi/><mo>/</mo><mn>3</mn><mo>,</mo><pi/><mo>/</mo><mn>4</mn><mo>,</mo><pi/><mo>/</mo><mn>6</mn><mo>,</mo><mo>-</mo><pi/><mo>/</mo><mn>3</mn><mo>,</mo><mo>-</mo><pi/><mo>/</mo><mn>4</mn><mo>,</mo><mo>-</mo><pi/><mo>/</mo><mn>6</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo><mo>*</mo><mi>random</mi><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>*</mo><pi/></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><msub><mi>A</mi><mi>i</mi></msub><mo>+</mo><mi>m</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi><mo>=</mo><mi>sin</mi><mo>(</mo><mi>a</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2</mi><mo>=</mo><mi>cos</mi><mo>(</mo><mi>a</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s3</mi><mo>=</mo><mi>tan</mi><mo>(</mo><mi>a</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s4</mi><mo>=</mo><mi>cotan</mi><mo>(</mo><mi>a</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi><mo>=</mo><mo>"</mo><mo> </mo><mi>sin</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo> </mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t2</mi><mo>=</mo><mo>"</mo><mo> </mo><mi>cos</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t3</mi><mo>=</mo><mo>"</mo><mo> </mo><mi>tg</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t4</mi><mo>=</mo><mo> </mo><mo>"</mo><mi>ctg</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo> </mo><mo>=</mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> </mo><mo> </mo><mo>.</mo><mo>"</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mrow><mn>7</mn><mo>*</mo><pi/></mrow><mn>6</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>2</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s4</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><msqrt><mn>3</mn></msqrt></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#s4</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question>