Question

The period of this function is π / 4 8 2π π / 2

Answer 1

ANSWER

$\frac{\pi}{2}$

EXPLANATION

The period refers to the interval over which the function completes one full cycle.

The given function completed four cycles in on the the interval.

[-π,π]

The period is

$= \frac{\pi - - \pi}{4}$

$= \frac{\pi + \pi}{4}$

Simplify;

$= \frac{2 \pi}{4}$

$= \frac{\pi}{2}$

The last choice is correct.