Math Help - identity proofs

1. identity proofs

I've been at this problem for almost an hour now, but nothing seems to work out right. Please help me get into the right footing on how to start it.

cos 2A/1 + sin 2A = cot A - 1/cot A + 1

2. Originally Posted by ink
I've been at this problem for almost an hour now, but nothing seems to work out right. Please help me get into the right footing on how to start it.

cos 2A/1 + sin 2A = cot A - 1/cot A + 1
Start with $\dfrac{\cos(2A)}{1+\sin(2A)}$ and use the following facts:

- $\cos(2A)=\cos^2A-\sin^2A=(\cos A+\sin A)(\cos A-\sin A)$

- $\sin(2A)=2\sin A\cos A$

- $\sin^2A+\cos^2A=1$

Can you try to do the problem with this information?