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Thread: solving equation using mathematical induction

  1. October 29th 2012, 11:17 AM #1
    jakobjakob
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    solving trigonometric equation using mathematical induction

    Prove that this is true for every n. (n is an element of natural numbers)

    cos(n*pi) = (-1)^n

    I would very much appreciate your help, thank you.
    Last edited by jakobjakob; October 29th 2012 at 11:25 AM.
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  2. October 29th 2012, 11:31 AM #2
    johnsomeone
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    Re: solving trigonometric equation using mathematical induction

    \text{Use: } \cos((n+1) \pi ) = \cos(n\pi + \pi) = \cos(n\pi)\cos(\pi) - \sin(n\pi)\sin(\pi), \text{ and continue on from there.}
    Last edited by johnsomeone; October 29th 2012 at 11:33 AM.
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  3. October 29th 2012, 12:02 PM #3
    jakobjakob
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    Re: solving trigonometric equation using mathematical induction

    Thank you for your help.
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