Use the fact that the trigonometric functions are periodic to find the exact value of the expression. Do not use a calculator.
-$\tan \frac { 17 \pi } { 4 }$
A) 1
B) $- 1$
C) $\sqrt { 3 }$
D) $\frac { \sqrt { 3 } } { 3 }$

Question

Quizplus · Accepted Answer

The tangent function has a period of $\pi$, so $\tan \frac{17\pi}{4} = \tan (\frac{16\pi}{4} + \frac{\pi}{4}) = \tan (\pi + \frac{\pi}{4}) = \tan \frac{\pi}{4} = 1$.

Use the Fact That the Trigonometric Functions Are Periodic to Find