State the period of the function: $$y = - \csc 4 x$$
A) $\frac { \pi } { 5 }$
B) $$\frac { \pi } { 2 }$$
C) $$\frac { \pi } { 4 }$$
D) $\frac { \pi } { 3 }$
E) $\frac { \pi } { 6 }$

Question

State the period of the function:​ $$y = - \csc 4 x$$ ​
A) $\frac { \pi } { 5 }$
B) $$\frac { \pi } { 2 }$$ ​
C) $$\frac { \pi } { 4 }$$ ​
D) $\frac { \pi } { 3 }$ ​
E) $\frac { \pi } { 6 }$ ​

Quizplus · Accepted Answer

The period of the cosecant function, $\csc x$, is $2\pi$. For $\csc(ax)$, the period is $\frac{2\pi}{|a|}$. Here, $a = 4$, so the period is $\frac{2\pi}{4} = \frac{\pi}{2}$.

State the Period of the Function:​ y=−csc⁡4xy = - \csc 4 xy=−csc4x

State the Period of the Function: $y = - \csc 4 x$