At which values of theta if the function y=csc theta undefined

The function y = csc(theta) is undefined when the sine function is equal to zero, because csc(theta) is the reciprocal of sin(theta).

The sine function is equal to zero at multiples of π: θ = π, 2π, 3π, etc.

Therefore, the function y = csc(theta) is undefined at θ = nπ, where n is an integer.