Question

Find cot θ if csc θ = square root 5 / 2 and tan θ > 0

Answer 1

\[\csc \theta~is~positive.~so~\theta ~lies~\in~1st~and~2rd~quadrant.\]
\[\tan \theta>0,~so~\theta~lies~\in~1st~and~3rd~quadrant.\
Hence cot theta is positive.
\[\csc ^2\theta-\cot ^2\theta=1\]
find cot theta