Question

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

Answer 1

ANSWER

The period is

$\frac{\pi}{8}$

EXPLANATION

The given function completes four cycles on the interval

$[ - \frac{\pi}{4} , \frac{\pi}{4} ]$

Therefore the period is

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

Simplify the numerator:

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

Simplify further to get:

$= \frac{\pi}{8}$

Answer 2

I’m not quite sure what the function is but if it’s sine the period is pi/8