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Math Help - Trip identity

  1. #1
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    Trip identity

    csc^4(x) - cot^4(x)

    Could someone walk me though simplifying this? Thanks!
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by absvalue View Post
    csc^4(x) - cot^4(x)

    Could someone walk me though simplifying this? Thanks!
    It factors to (\csc^2x+\cot^2x)({\color{blue}\csc^2x-\cot^2x})=({\color{red}\csc^2x}+\cot^2x)({\color{b  lue}1})={\color{red}\cot^2x+1}+\cot^2x =2\cot^2x+1

    Does this make sense?
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  3. #3
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    Thanks for your helpful post. I was stuck on the second step... I understand it now. Thanks again!
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