Both terms of the expression on the left side have a factor of sin[sup:2zs678f2]2[/sup:2zs678f2] x. Start by removing that common factor:
sin[sup:2zs678f2]2[/sup:2zs678f2] x (cot[sup:2zs678f2]2[/sup:2zs678f2] x + 1) = 1
Look at your list of identities...you should find one that gives you an expression you can use in place of (cot[sup:2zs678f2]2[/sup:2zs678f2] x + 1).....
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