find the period. simplify your answer.
find the period. simplify your answer.
Answer
Explanation:
Step1: Identify start - end points
The function repeats from $x = -\frac{3\pi}{4}$ to $x=\frac{7\pi}{6}$.
Step2: Calculate the period
Period $P=\frac{7\pi}{6}-(-\frac{3\pi}{4})$. First, find a common denominator, which is 12. Then $\frac{7\pi}{6}=\frac{14\pi}{12}$ and $-\frac{3\pi}{4}=-\frac{9\pi}{12}$. So $P = \frac{14\pi}{12}+\frac{9\pi}{12}=\frac{14\pi + 9\pi}{12}=\frac{23\pi}{12}$.
Answer:
$\frac{23}{12}$