Question

write cot 0 in terms of cos 0

Answer 1

I'm going to assume that you mean \[\theta\]

Answer 2

\[
\cot(\theta) = \frac{\cos(\theta)}{\sin(\theta)}
\]

Answer 3

\[
\sin^2(\theta)+\cos^2(\theta) = 1 \implies |\sin(\theta)| = \sqrt{1-\cos^2(\theta)}
\]