determine the period of the following graph. answer attempt 1 out of 2
determine the period of the following graph. answer attempt 1 out of 2
Answer
Explanation:
Step1: Identify one - cycle length
The period of a trigonometric function is the horizontal length of one complete cycle. Looking at the graph, we can see that one complete cycle starts at (x =-\frac{\pi}{3}) and ends at (x=\frac{2\pi}{3}).
Step2: Calculate the period
We use the formula (T=x_2 - x_1), where (x_2=\frac{2\pi}{3}) and (x_1 =-\frac{\pi}{3}). Then (T=\frac{2\pi}{3}-\left(-\frac{\pi}{3}\right)=\frac{2\pi + \pi}{3}=\pi).
Answer:
(\pi)