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Math Help - Prove(7)

  1. #1
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    Prove(7)

    Prove  <br />
cos4Asec^22A=1-tan^22A<br />
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  2. #2
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    Quote Originally Posted by Punch View Post
    Prove  <br />
cos4Asec^22A=1-tan^22A<br />
    \cos{4x}\sec^2{2x} = (\cos^2{2x} - \sin^2{2x})\frac{1}{\cos^2{2x}}

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

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

     = 1 - \tan^2{2x}.
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