1MA 01. TRIGONOMETRIA/1MA.01.2 Reducció al 1r quadrant 1MA.01.2.53Q ReduccióQuadrantAleatori_3 Relaciona l'angle amb el que li correspon en el primer quadrant.

a) #a º

b) #b º

c) #c º

Format: sense unitats

]]> 1.0000000 0.5000000 0 0 a)=#s_12b)=#s_22c)=#s_32]]> <question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mrow><mi>a</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>91</mn><mo>,</mo><mn>359</mn><mo>)</mo></mrow><mrow><mi>a</mi><mo>≠</mo><mn>270</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>a</mi><mo><</mo><mn>180</mn></mrow><mtable><mtr><mtd><mi>s_11</mi><mo>=</mo><mo>"</mo><mi>més</mi><mo>"</mo></mtd></mtr><mtr><mtd><mi>s_12</mi><mo>=</mo><mn>180</mn><mo>-</mo><mi>a</mi></mtd></mtr></mtable><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>a</mi><mo><</mo><mn>270</mn></mrow><mtable><mtr><mtd><mi>s_11</mi><mo>=</mo><mo>"</mo><mi>menys</mi><mo>"</mo></mtd></mtr><mtr><mtd><mi>s_12</mi><mo>=</mo><mi>a</mi><mo>-</mo><mn>180</mn></mtd></mtr></mtable><mtable><mtr><mtd><mi>s_11</mi><mo>=</mo><mo>"</mo><mi>menys</mi><mo>"</mo></mtd></mtr><mtr><mtd><mi>s_12</mi><mo>=</mo><mn>360</mn><mo>-</mo><mi>a</mi></mtd></mtr></mtable></apply></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mrow><mi>b</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>91</mn><mo>,</mo><mn>359</mn><mo>)</mo></mrow><mrow><mi>b</mi><mo>≠</mo><mn>270</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>b</mi><mo><</mo><mn>180</mn></mrow><mtable><mtr><mtd><mi>s_21</mi><mo>=</mo><mo>"</mo><mi>menys</mi><mo>"</mo></mtd></mtr><mtr><mtd><mi>s_22</mi><mo>=</mo><mn>180</mn><mo>-</mo><mi>b</mi></mtd></mtr></mtable><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>b</mi><mo><</mo><mn>270</mn></mrow><mtable><mtr><mtd><mi>s_21</mi><mo>=</mo><mo>"</mo><mi>menys</mi><mo>"</mo></mtd></mtr><mtr><mtd><mi>s_22</mi><mo>=</mo><mi>b</mi><mo>-</mo><mn>180</mn></mtd></mtr></mtable><mtable><mtr><mtd><mi>s_21</mi><mo>=</mo><mo>"</mo><mi>més</mi><mo>"</mo></mtd></mtr><mtr><mtd><mi>s_22</mi><mo>=</mo><mn>360</mn><mo>-</mo><mi>b</mi></mtd></mtr></mtable></apply></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mrow><mi>c</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>91</mn><mo>,</mo><mn>359</mn><mo>)</mo></mrow><mrow><mi>c</mi><mo>≠</mo><mn>270</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>c</mi><mo><</mo><mn>180</mn></mrow><mtable><mtr><mtd><mi>s_31</mi><mo>=</mo><mo>"</mo><mi>menys</mi><mo>"</mo></mtd></mtr><mtr><mtd><mi>s_32</mi><mo>=</mo><mn>180</mn><mo>-</mo><mi>c</mi></mtd></mtr></mtable><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>c</mi><mo><</mo><mn>270</mn></mrow><mtable><mtr><mtd><mi>s_31</mi><mo>=</mo><mo>"</mo><mi>més</mi><mo>"</mo></mtd></mtr><mtr><mtd><mi>s_32</mi><mo>=</mo><mi>c</mi><mo>-</mo><mn>180</mn></mtd></mtr></mtable><mtable><mtr><mtd><mi>s_31</mi><mo>=</mo><mo>"</mo><mi>menys</mi><mo>"</mo></mtd></mtr><mtr><mtd><mi>s_32</mi><mo>=</mo><mn>360</mn><mo>-</mo><mi>c</mi></mtd></mtr></mtable></apply></apply></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>s</mi><mi>_</mi><mn>12</mn><mspace linebreak="newline"/><mi>b</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>s</mi><mi>_</mi><mn>22</mn><mspace linebreak="newline"/><mi>c</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>s</mi><mi>_</mi><mn>32</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Determina primer en quin quadrant està l'angle.

Després aplica:

180º - a pel 2n quadrant

180º + a pel 3r quadrant

360º - a pel quart quadrant

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