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Thread: trig proofs

  1. May 23rd 2010, 07:06 PM #1
    runner940
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    trig proofs

    I am having difficulty getting past the first step of solving this problem, can someone help me or check this for me? Thank you

    Original Problem: sin(x)^2 - sin(x)^4 = cos(x)^2 - cos(x)^4
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  2. May 23rd 2010, 07:08 PM #2
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    Quote Originally Posted by runner940 View Post
    I am having difficulty getting past the first step of solving this problem, can someone help me or check this for me? Thank you

    Original Problem: sin(x)^2 - sin(x)^4 = cos(x)^2 - cos(x)^4
    \sin^2{x} - \sin^4{x} = \sin^2{x}(1 - \sin^2{x})

    = \sin^2{x}\cos^2{x}

    = (1 - \cos^2{x})\cos^2{x}

    = \cos^2{x} - \cos^4{x}.
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