I need help with identities. I don't really know how to start or if I'm doing it right. Can someone show me the steps in solving these?
1.) $\tan x+ \cot x= 2\csc 2x$
$$\frac{\sin x}{\cos x} + \frac{\cos x}{\sin x}= 2\csc 2x$$
Is this the right way?
2.) $\sec^2 \dfrac{x}{2} = \dfrac{2}{1+ \cos x}$
I'm not sure how to start this one.