Find the period of the function $y = \frac { 1 } { 3 } \csc 2 x$
A) $2 \pi$
B) $\pi$
C) $\frac { \pi } { 2 }$
D) $2$
E) $\frac { 2 \pi } { 3 }$

Question

Quizplus · Accepted Answer

The period of the csc function is the same as the period of the sine function, which is $2\pi$. However, when the sine function is in the form $\sin(bx)$ or $\csc(bx)$, the period is $\frac{2\pi}{|b|}$. Here, $b = 2$, so the period is $\frac{2\pi}{2} = \pi$.

Find the Period of the Function y=13csc⁡2xy = \frac { 1 } { 3 } \csc 2 xy=31​csc2x

Find the Period of the Function $y = \frac { 1 } { 3 } \csc 2 x$