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Math Help - Identitiy help urgently needed

  1. #1
    Junior Member
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    Exclamation Identitiy help urgently needed

    Hi , I am having problems proving the identity

    tan^2x-sin^2x=tan^2xsin^2x

    Heres what I have done so far
    [tex]
    sin^2x - sin^2x(cos^2x)
    cos^2x
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  2. #2
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    Quote Originally Posted by nightrider456 View Post
    Hi , I am having problems proving the identity

    tan^2x-sin^2x=tan^2xsin^2x

    Heres what I have done so far
    [tex]
    sin^2x - sin^2x(cos^2x)
    cos^2x
    \tan^2{x} - \sin^2{x} = \frac{\sin^2{x}}{\cos^2{x}} - \sin^2{x}

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

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

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

     = \tan^2{x}\sin^2{x}.
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