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Math Help - Assistance with a proof

  1. #1
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    Mar 2012
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    Australia
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    Assistance with a proof

    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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  2. #2
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    Jul 2011
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    Re: Assistance with a proof

    {\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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