Results 1 to 3 of 3

Math Help - solving equation using mathematical induction

  1. #1
    Newbie
    Joined
    Oct 2012
    From
    europe
    Posts
    10

    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.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Sep 2012
    From
    Washington DC USA
    Posts
    525
    Thanks
    146

    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.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Oct 2012
    From
    europe
    Posts
    10

    Re: solving trigonometric equation using mathematical induction

    Thank you for your help.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. mathematical equation
    Posted in the Math Software Forum
    Replies: 4
    Last Post: September 16th 2010, 10:45 PM
  2. Replies: 2
    Last Post: September 29th 2009, 12:44 PM
  3. Solve the Mathematical Model (Population Differantial Equation)
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: February 13th 2009, 11:23 PM
  4. Mathematical teaser equation
    Posted in the Math Topics Forum
    Replies: 4
    Last Post: August 25th 2008, 08:25 AM
  5. solving diff equation w/ bournoulli's equation
    Posted in the Calculus Forum
    Replies: 2
    Last Post: February 14th 2008, 06:06 PM

Search Tags


/mathhelpforum @mathhelpforum