Pre-Calc/Trig Unit 1: Trig Functions/2.1 Trig Functions: Acute Angles Evaluate the function requested. Write your answer as a fraction in lowest ... Evaluate the function requested. Write your answer as a fraction in lowest terms.

Find tan A.]]> 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9hvbbUIbfVPHOt3tv59vMk8LvDNePG+yWNHAdSMqOK5T4faNZ/tDxeJ9b8QeMfEFzJpXibWNBTQ/DfiO40i30n7HfTW6K32CSKZ5ZYIraZhdSS4Mm6IRJJtP0BXn/in4EeDPFmu3WtzWWoaPrV5t+3aj4a1m90S4v9ihI/tUllNC1z5artTzS/lgsE2hmyAdV4T0D/hFPCujaJ/aWoaz/ZtlDZf2jq0/n3l15aBPNnkwN8rbdzNgZYk45rWqppOmQ6LpVlp9u9xJb2kKW8b3dzJczMqqFBeWRmeRsDl3YsxySSSTVugAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAPMYf2cPA8D+L2WPxCW8WqV1nd4q1VvtOQoyM3P7o7UWMGPaQgCD5Plrf8AAPwr0T4ai4GjXPiCZJ0SMprXiTUdVRFXO0RrdzyiPrzsxnjOcCiihabeny7Dbb3/AK/qyOvooooEFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAH//2Q== 1.0000000 0.3333333 0 true true abc ]]> 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Correct ]]> 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 Incorrect ]]> 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 Incorrect ]]> 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Incorrect Find a solution for the equation. Assume that all angles are acute angles.... Find a solution for the equation. Assume that all angles are acute angles.

sin(2β + 15°) = cos(3β - 25°)]]> 1.0000000 0.3333333 0 true true abc 20° Correct 21° Incorrect 22° Incorrect 19.5° Incorrect Give exact function value Without using a calculator, give the exact trig function value with rational denominator at «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»45«/mn»«mo»§#176;«/mo»«/math» for:

#a =

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»s«/mi»«mi»e«/mi»«mi»c«/mi»«mo»(«/mo»«mi»§#952;«/mi»«mo»+«/mo»«mn»15«/mn»«mo»§#176;«/mo»«mo»)«/mo»«mo»=«/mo»«mi»c«/mi»«mi»s«/mi»«mi»c«/mi»«mo»(«/mo»«mo»#«/mo»«mi»a«/mi»«mo»§#160;«/mo»«mi»§#952;«/mi»«mo»+«/mo»«mn»0«/mn»«mo»§#176;«/mo»«mo»)«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 #answer]]> <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>2</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mo>(</mo><mfrac><mn>75</mn><mrow><mo>(</mo><mi>a</mi><mo>+</mo><mn>1</mn><mo>)</mo></mrow></mfrac><mo>)</mo><mo>*</mo><mn>1</mn><mo>.</mo><mn>0</mn></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>ns</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, 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="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</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="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Suppose ABC is a right triangle with sides of lengths a, b, and c and right ... Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the unknown side length using the Pythagorean theorem and then find the value of the indicated trigonometric function of the given angle. Rationalize the denominator if applicable.

Find csc B when a = 9 and b = 10.]]> 1.0000000 0.3333333 0 true true abc ]]> 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 Correct ]]> 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 Incorrect ]]> 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 Incorrect ]]> 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 Incorrect Trig function given 2 sides of right triangle Suppose ABC is a right triangle with sides of length a, b, and c and right angle at C. Find the unknown side using the Pythagorean Theorem, then find the value of:

csc B when a=#a and b=#b

Rational if necessary.

Sin A when b=#b and c=#c

Rational if necessary.

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»sin«/mi»«mo»(«/mo»«mi»§#952;«/mi»«mo»+«/mo»«mo»#«/mo»«mi»a«/mi»«mo»§#160;«/mo»«mo»§#176;«/mo»«mo»)«/mo»«/math»