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Thread: Trigonometric Identity

  1. #1
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    Trigonometric Identity

    Question was 'Proof this following identity' - I couldn't for the life of me simplify the LHS down to the RHS. If any one could provide a rudimentary break down of the LHS I would be very grateful.

    ((tanX)^2+(cosX)^2)/((sinX)+(secX)) = secX - sinX

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  2. #2
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    Re: Trigonometric Identity

    ..ah dont worry, I was being silly - the numerator can be simplified to the difference of two squares.
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  3. #3
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    Re: Trigonometric Identity

    $\dfrac{\tan^2{x}+ 1-\sin^2{x}}{\sin{x}+\sec{x}}$

    $\dfrac{\sec^2{x}-\sin^2{x}}{\sin{x}+\sec{x}}$

    $\dfrac{(\sec{x}-\sin{x})(\sec{x}+\sin{x})}{\sin{x}+\sec{x}}$
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