I'm having trouble proving the following: (sinx/sinx + cosx) + (cosx/sinx - cosx) = 1/ 2sin^2x - 1 I can get the numerator to become 1 on the left side but am having trouble with the denominator. Can someone help?
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$\displaystyle {\sin^2(x)+\cos^2(x)=1 \implies 2\sin^2(x)+\cos^2(x)=1+\sin^2(x)\implies \sin^2(x)-\cos^2(x)=2\sin^2(x)-1}$
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