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Math Help - Trigonometric equation.

  1. #1
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    Trigonometric equation.

    Hi i'm currently on Trigonometric equations.
    I got stuck on one particular math problem.
    It's the following problem

    Sin(x*pi/2)=cos(x*pi/2)+1

    -2<= x <=2

    I have tried over and over again but i can't solve it...
    so if some kind sperit could give me some input on how to solve it, and what method to use it would be nice


    Sorry for my bad english....
    and thank you in advance
    Last edited by mr fantastic; March 7th 2011 at 01:47 AM. Reason: Title.
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  2. #2
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    Square both sides to get

    \displaystyle \sin^2{\left(\frac{\pi}{2}x\right)} = \cos^2{\left(\frac{\pi}{2}x\right)} + 2\cos{\left(\frac{\pi}{2}x\right)} + 1

    then apply the Pythagorean Identity to get this into a quadratic equation in terms of \displaystyle \cos{\left(\frac{\pi}{2}x\right)}, which you can then solve.


    Of course, to avoid extraneous solutions, you will also need to draw an accompanying graph of your original function.
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  3. #3
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    Cool! Now it was easy thank you for your help Prove it
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