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Math Help - Trig homework

  1. #1
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    Trig homework

    hi im going through some past papers and im really struggling with this trig question.

    prove that sec^2 x - cosec^2 x = tan^2 x - cot^x
    cheers
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  2. #2
    Member great_math's Avatar
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    Quote Originally Posted by brooksy View Post
    hi im going through some past papers and im really struggling with this trig question.

    prove that sec^2 x - cosec^2 x = tan^2 x - cot^x
    cheers
    1+\tan^2x=\sec^2x and 1+\cot^2x=\csc^2x

    LHS=\sec^2 x - \csc^2 x

    =1+\tan^2x-1-\cot^2x=\tan^2 x - \cot^2x=RHS

    Note that csc is same as cosec
    Last edited by great_math; December 1st 2008 at 03:55 AM.
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