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Math Help - Verifying an Identity (help)

  1. #1
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    Verifying an Identity (help)

    could someone show the steps to verifying this identity, and what was used to solve it?

    (cos x − sec x)2 = tan2 x − sin2 x


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  2. #2
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    Re: Verifying an Identity (help)

    just expand the LHS we get LHS = cos^2 - 2 cos x * sec x + sec ^2 x = 1-sin^2x -2 + 1 + tan^2 x and you have the RHS
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  3. #3
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    Re: Verifying an Identity (help)

    alternatively you could start with RHS = tan^2x - sin^2x = ( sec^2x - 1 ) - ( 1 - cos^2x) = sec^2x - 2 + cos^2x = sec^2x - 2 secx * cosx+ cos^2x = ( cosx - se x )^2 = LHS
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