Results 1 to 2 of 2

Math Help - Approaching a sawtooth wave

  1. #1
    Newbie
    Joined
    Nov 2011
    Posts
    7

    Approaching a sawtooth wave

    We have that for the function of a saw tooth wave through a Fourier series, it develops...

    S(t) = \frac {2}{\pi}\sum_{k=1}^{\infin} {(-1)}^{k} \frac {\sin (2\pi kft)}{k}

    However, another way of approaching this function is through...

    S(t) = \frac {|sin (t)|} {tan (t)}

    Note: This trig. function in a "inverse saw tooth wave"

    Realizing there exists a "bend" between minima's and maxima's, how can I approach this trigonometric function to produce a sawtooth wave? Curious.
    Last edited by brianjesusdiaz; December 3rd 2011 at 10:20 AM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4

    Re: Approaching a sawtooth wave

    Quote Originally Posted by brianjesusdiaz View Post
    We have that for the function of a saw tooth wave through a Fourier series, it develops...

    S(t) = \frac {2}{\pi}\sum_{k=1}^{\infin} {(-1)}^{k} \frac {\sin (2\pi kft)}{k}

    However, another way of approaching this function is through...

    S(t) = \frac {|sin (t)|} {tan (t)}

    Note: This trig. function in a "inverse saw tooth wave"

    Realizing there exists a "bend" between minima's and maxima's, how can I approach this trigonometric function to produce a sawtooth wave? Curious.
    1. That is not the Fourier series of a saw tooth wave.

    2. In the second there is nothing to converge.

    CB
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Continuity of the Sawtooth Function.
    Posted in the Calculus Forum
    Replies: 2
    Last Post: September 15th 2011, 03:36 PM
  2. Replies: 1
    Last Post: May 25th 2009, 07:55 AM
  3. Limits: h approaching zero
    Posted in the Calculus Forum
    Replies: 7
    Last Post: December 13th 2008, 01:57 PM
  4. approaching a limit
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: September 23rd 2008, 09:45 AM
  5. Replies: 2
    Last Post: November 6th 2007, 12:05 PM

Search Tags


/mathhelpforum @mathhelpforum