What is the period of the graph of the function y csc 7x16

What is the period of the graph of the function y = csc (7x/16)? period = Preview Enter answer as a fraction, not as a decimal. And, use pi for pi.

Solution

Given that

y = csc( 7x/16)

We know that

Period of y = a csc(kx) is 2pi/k where k > 0

Hence ,

y = csc( 7x/16)

y = 1.csc( 7x/16)

In this function a = 1 , k = 7/16

Period = 2pi/k

= 2pi / (7/16)

   Period = 32pi/7

Therefore ,

   Period = 32pi/7