Verify the basic identity. What is the domain of validity?

cot θ = cos θ csc θ

I already did the basic identity part, so I just need help with finding the domain of validity.
Thank you! :)

Question

Verify the basic identity. What is the domain of validity? 

cot θ = cos θ csc θ 

I already did the basic identity part, so I just need help with finding the domain of validity. 
Thank you! :)

jdoe0001 · Answer

$\bf cot(\theta)=\cfrac{cos(\theta)}{sin(\theta)}\impliedby \textit{valid domain is when is not "undefined"}$

meaning, when the sine function for that angle isn't "0"
so, that'd be the valid domain for it :)

jhonyy9 · Answer

cot theta = cos theta /sin theta

csc theta = 1/sin theta 

cos theta*csc theta = cos theta *1/sin theta = cos theta / sin theta = cot theta 

cot theta = cot theta