# What is the period for y=csc((3x)/2)?

The period of $y = \csc \left(\frac{3 x}{2}\right) i s \left(\frac{4 \pi}{3}\right)$
$\csc x = \frac{1}{\sin} x$
The period of sin 3x is $\left(\frac{2 \pi}{3}\right)$
The period of $\sin \left(\frac{3 x}{2}\right)$ is $\frac{4 \pi}{3}$