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Thread: Assistance with a proof

  1. March 19th 2012, 05:16 PM #1
    Jasonlemieux
    Jasonlemieux is offline
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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. March 19th 2012, 05:31 PM #2
    MATHNEM
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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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