21. determine the period of the following graph.
21. determine the period of the following graph.
Answer
Explanation:
Step1: Identify start - end of one cycle
A periodic function repeats itself. Observe the graph to find the start and end of one complete cycle. We can see that one cycle starts at $x =-\frac{\pi}{2}$ and ends at $x=\frac{\pi}{2}$.
Step2: Calculate the period
The period $T$ is the difference between the end - point and the start - point of one cycle. So $T=\frac{\pi}{2}-\left(-\frac{\pi}{2}\right)$. $T=\frac{\pi}{2}+\frac{\pi}{2}=\pi$
Answer:
$\pi$