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    identity

    prove tan squared theta over sin squared theta = 1 +tan squared theta
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    MHF Contributor harish21's Avatar
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    Quote Originally Posted by way123 View Post
    prove tan squared theta over sin squared theta = 1 +tan squared theta
    \frac{tan^{2}x}{sin^{2}x} = \frac{\frac{sin^{2}x}{cos^{2}x}}{sin^{2}x} = \frac{sin^{2}x}{cos^{2}x} \times \frac{1}{sin^{2}x} = \frac{1}{cos^2x}

    = sec^{2}x

    you should know that sec^{2}x-tan^{2}x = 1

    therefore, sec^{2}x = 1+ tan^{2}x
    Last edited by harish21; May 4th 2010 at 07:17 PM.
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