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 $\tan \frac { 17 \pi } { 4 } = \tan (\frac { 16 \pi } { 4 } + \frac { \pi } { 4 }) = \tan (\frac { \pi } { 4 })$, which equals 1.

Use the Fact That the Trigonometric Functions Are Periodic to Find