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Math Help - Problem with mathematical induction

  1. #1
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    Exclamation Problem with mathematical induction

    Hi, I tried everything I could think of, but I cannot solve this problem. Any idea? (look at the image bellow)

    Problem with mathematical induction-screen-shot-2012-09-20-15.02.25.png
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  2. #2
    MHF Contributor
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    Re: Problem with mathematical induction

    In the inductive step, you need to show \frac{1-\cos2n\theta}{2\sin\theta}+\sin(2n+1)\theta=\frac{  1-\cos(2n+2)\theta}{2\sin\theta}. Multiply both sides by 2\sin\theta and use the formula for the difference of cosines.
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