What is the set of removable discontinuities of the function?

Question

What is the set of removable discontinuities of the function j(θ) = (cos²(θ)·sin²(θ))/cot²(θ)?

Answer 1

c^2(s^2)/cot^2)

= c^2(s^2)(s^2/c^2)

= s^2 =sin^2(x)

but discontinuities are only when cotx = 0

when x = arccot0 when cosx = 0 when x= pi/2 + pin where n= any integer