For what values of x is an element of real numbers, will y = 1/sin(x) be undefined? (Where x is understood to be measured in degrees.)

Question

I know that for it to be undefined, sin(x) must be 0. Given this I know that x is undefined at: 0,180,360...

How would I go about stating this?

Answer 1

for every integer k,

x = k*360°, y is undefined.