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Math Help - Verifying

  1. #1
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    Verifying

    Verify for all integers n,

    \cos {\frac {(2n+1)\pi}{2}}=0.

    Help? I know the double angle, half-angle, and sum and difference formulas, but I can't figure out how to verify it.
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  2. #2
    Moo
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    Hello,
    Quote Originally Posted by chrozer View Post
    Verify for all integers n,

    \cos {\frac {(2n+1)\pi}{2}}=0.

    Help? I know the double angle, half-angle, and sum and difference formulas, but I can't figure out how to verify it.
    You can do it by induction.


    Or... :

    \cos \frac{(2n+1)\pi}{2}=\cos(n \pi+\tfrac \pi 2)
    use the sum formula.

    Then remember that \sin(n \pi)=0
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  3. #3
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    Quote Originally Posted by Moo View Post
    Hello,

    You can do it by induction.


    Or... :

    \cos \frac{(2n+1)\pi}{2}=\cos(n \pi+\tfrac \pi 2)
    use the sum formula.

    Then remember that \sin(n \pi)=0
    Thanks.
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