Results 1 to 2 of 2

Math Help - Finding trig values using a series

  1. #1
    Newbie
    Joined
    Feb 2007
    Posts
    2

    Finding trig values using a series

    Hello, my calculus teacher brought up something very interesting concerning the ability to figure out the value of a trig function through a series. However she didn't go on to really teach about it, I am curious about this and was wondering if anyone knew about this...
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,738
    Thanks
    643
    Hello, rman12011!

    My calculus teacher brought up something very interesting concerning
    the ability to figure out the value of a trig function through a series.
    However she didn't go on to really teach about it,
    I am curious about this and was wondering if anyone knew about this...

    When you get into Infinite Series, you learn two fascinating series:

    . . sin x .= .x - (x^3)/3! + (x^5)/5! - (x^7)/7! + . . .

    . . cos x .= .1 - (x^2)/2! + (x^4)/4! - (x^6)/6! + . . .

    where x is measured in radians.


    Sines and cosines come from some right triangle, yet with Infinite Series:
    . . the sine has odd powers and odd factorials (and alternating signs)
    . . the cosines has even powers and and even factorials (and alternating signs).

    I think it's a remarkable pattern . . .

    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 12
    Last Post: November 22nd 2011, 05:02 PM
  2. Finding power series for given values of a sum
    Posted in the Calculus Forum
    Replies: 5
    Last Post: April 29th 2011, 12:32 PM
  3. ok...trig help on finding values
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: August 8th 2010, 09:27 AM
  4. Help finding values of trig functions.
    Posted in the Trigonometry Forum
    Replies: 3
    Last Post: January 13th 2010, 01:59 PM
  5. Finding Trig Values
    Posted in the Trigonometry Forum
    Replies: 2
    Last Post: December 26th 2008, 05:03 PM

Search Tags


/mathhelpforum @mathhelpforum