For which value of x is y=csc x undefined?

Question

A) pi/4

B) pi/2

C) 3

D) 2pi

Answer 1

So first, see how cosecant relates to the more common trig terms.

In other words, cscx = 1/sinx or sinx = 1/cscx

Therefore, cscx will be undefined for all values where sinx = 0

Sinx = 0 at 0, 180, and 360 degrees (0, π, and 2π in radians)

When sinx = 0, then 1/0 is undefined.

Therefore, for x = 0, π, and 2π; cscx is undefined.

From the multiple choice options provided, the correct option would be D.

Hope this helps.