Exact Values of Trigonometric Functions – Practice Questions

This page contains practice questions with answers on how to find exact values of trigonometric functions. You may find it helpful to review the table of values of trigonometric functions for special angles .

In all questions below, you are required to find the exact value, if possible, of the given trigonometric function.

Questions

Question 1

\[ \sin\left(-\frac{\pi}{4}\right) \]

Question 2

\[ \tan\left(-\frac{3\pi}{4}\right) \]

Question 3

\[ \sec\left(\frac{5\pi}{3}\right) \]

Question 4

\[ \cot\left(-\frac{5\pi}{3}\right) \]

Question 5

\[ \cos\left(\frac{25\pi}{3}\right) \]

Question 6

\[ \csc\left(\frac{15\pi}{6}\right) \]

Question 7

\[ \sin\left(\frac{17\pi}{4}\right) \]

Question 8

\[ \sec\left(\frac{\pi}{2}\right) \]

Question 9

\[ \tan\left(\frac{5\pi}{6}\right) \]

Question 10

\[ \csc\left(\frac{15\pi}{2}\right) \]

Answers

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