Question

The period of this function is

π / 4

8

2π

π / 2

Answer 1

`(\pi)/(2)`

Step-by-step 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

`= (\pi - - \pi)/(4)`

`= (\pi + \pi)/(4)`

Simplify;

`= (2 \pi)/(4)`

`= (\pi)/(2)`

The last choice is correct.