question 12 next question determine the period of the following graph. answer

Answer:

$\frac{\pi}{2}$

Explanation:

Step1: Recall the definition of period

The period of a periodic function is the horizontal length of one complete cycle.

Step2: Identify two consecutive corresponding points

For example, take the peak at (x =-\frac{\pi}{3}) and the next peak at (x=\frac{\pi}{6}).

Step3: Calculate the difference

The difference between these (x -)values is (\frac{\pi}{6}-\left(-\frac{\pi}{3}\right)=\frac{\pi}{6}+\frac{\pi}{3}=\frac{\pi + 2\pi}{6}=\frac{\pi}{2}).