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Thread: Proving trigonometric identites using basic identities

  1. June 20th 2010, 10:43 PM #1
    mastermin346
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    Proving trigonometric identites using basic identities

    prove the following identities

    a) \frac{1}{1+sin\theta}+\frac{1}{1-sin\theta}=2sec^2\theta
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  2. June 20th 2010, 10:49 PM #2
    Grandad
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    Hello mastermin346
    Quote Originally Posted by mastermin346 View Post
    prove the following identities

    a) \frac{1}{1+sin\theta}+\frac{1}{1-sin\theta}=2sec^2\theta
    \dfrac{1}{1+\sin\theta}+\dfrac{1}{1-\sin\theta}=\dfrac{(1-\sin\theta)+(1+\sin\theta)}{(1-\sin\theta)(1+\sin\theta)}
    =\dfrac{2}{1-\sin^2\theta}

    =\dfrac{2}{\cos^2\theta}

    =2\sec^2\theta

    Grandad
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