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, which is the reciprocal of the sine function, is $2\pi$. For $y = -\csc(4x)$, the period is given by $\frac{2\pi}{|b|}$, where $b = 4$. Thus, 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 $y = - \csc 4 x$