Exam 5: Introduction to Trigonometric Functions

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Find the exact value of sin θ\theta , cos θ\theta , and tan θ\theta using reference angles. θ\theta = 225°

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If θ\theta is not a special angle, multiply by ______ to convert radians to degrees.

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Use the following to answer questions : y = Use the following to answer questions : y =   -State the amplitude. -State the amplitude.

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Convert Convert   rad to degrees. rad to degrees.

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_______ angles measure greater than 90°.

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Use a calculator to find the value of tan 34°, rounded to four decimal places.

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Use a reference rectangle and the rule of fourths to draw an accurate sketch through at least one complete cycle where t > 0. y = Use a reference rectangle and the rule of fourths to draw an accurate sketch through at least one complete cycle where t > 0. y =   cos t cos t

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Use the following to answer questions : The data in the table can be modeled using the function y = A tan(Bx). Use the following to answer questions : The data in the table can be modeled using the function y = A tan(Bx).    -State the location of the asymptotes. -State the location of the asymptotes.

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Find the value of cos θ\theta given P  Find the value of cos \theta  given P   is on the terminal side of angle  \theta , with  \theta  in standard position. is on the terminal side of angle θ\theta , with θ\theta in standard position.

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Use the following to answer questions : y = Use the following to answer questions : y =   -State the period. -State the period.

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Use the following to answer questions : y = 190 sin Use the following to answer questions : y = 190 sin   -Identify the period (P). -Identify the period (P).

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Use the symmetry of the circle and reference arcs as needed to state the exact value of Use the symmetry of the circle and reference arcs as needed to state the exact value of   . A diagram may help. . A diagram may help.

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State the value of State the value of   without the use of a calculator. without the use of a calculator.

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Use the function value given to determine the value of sin θ\theta . Answer in exact form (a diagram will help).  Use the function value given to determine the value of sin \theta . Answer in exact form (a diagram will help).

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Evaluate sin -60° in exact form.

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Use the following to answer questions : y = 20 sin Use the following to answer questions : y = 20 sin   + 320 -Identify the vertical shift (VS). + 320 -Identify the vertical shift (VS).

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Find the measure of angle A. Find the measure of angle A.

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Without using a calculator, find two values of t (where possible) in [0, 2π) such that sec t is undefined.

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Draw the graph of y = 3 sec t by applying observations made in this chapter about the related cosine graph.

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Select an appropriate function to find the angle θ\theta (rounded to the nearest tenth of a degree).  Select an appropriate function to find the angle  \theta (rounded to the nearest tenth of a degree).

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