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Math Help - trig proofs

  1. #1
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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. #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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