determine the period of the following graph.\nanswer\nattempt 1 out of 2\nsubmit answer
determine the period of the following graph.\nanswer\nattempt 1 out of 2\nsubmit answer
Answer
Explanation:
Step1: Identify start - end of one cycle
Observe the graph. One complete cycle can be seen from (x = -\frac{\pi}{3}) to (x=\frac{2\pi}{3}).
Step2: Calculate the period
The period (T) is found by subtracting the starting (x) - value from the ending (x) - value. So (T=\frac{2\pi}{3}-\left(-\frac{\pi}{3}\right)). [ \begin{align*} T&=\frac{2\pi}{3}+\frac{\pi}{3}\ &=\frac{2\pi + \pi}{3}\ &=\pi \end{align*} ]
Answer:
(\pi)