I am sorry to ask so many of these questions in such as short time span.
But how would I prove this following trigonometric identity. $ \frac{1+\cos(2A)}{\sin(2A)}=\cot A $ My work thus far is $ \frac{1+\cos^2A-\sin^2A}{2\sin A\cos A} $ I know $1-\sin^2A=\cos^2A$
So I do $ \frac{\cos^2A+\cos^2A}{2\sin A\cos A} $ I know not what I do next.