Results 1 to 2 of 2
Like Tree1Thanks
  • 1 Post By romsek

Thread: Inverse circular function

  1. #1
    Newbie
    Joined
    May 2018
    From
    India
    Posts
    5

    Inverse circular function

    If $\arcsin(x-\frac{x^2}{4}+\frac{x^3}{6}-....)+\arccos(x^2-\frac{x^4}{2}+\frac{x^6}{4}....)=\frac{\pi}{2},for 0<|x|<\sqrt2$. Then x equals
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Nov 2013
    From
    California
    Posts
    6,153
    Thanks
    2614

    Re: Inverse circular function

    first convince yourself that

    $\arcsin(u)+\arccos(v)=\dfrac \pi 2 \Rightarrow u=v$

    then determine what function each of the series represents

    hint: Look at the series of $\ln(1+x)$ and adjust it as necessary

    Then solve for these two functions being equal to each other.

    Alternatively you might be able to solve for the values where the two series directly are equal.
    Thanks from HallsofIvy
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Circular function value
    Posted in the Trigonometry Forum
    Replies: 4
    Last Post: Oct 15th 2017, 10:13 AM
  2. Circular function
    Posted in the Calculus Forum
    Replies: 7
    Last Post: May 23rd 2013, 07:32 PM
  3. Inverse circular functions
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: Apr 5th 2011, 04:05 PM
  4. Inverse circular relations problems
    Posted in the Trigonometry Forum
    Replies: 4
    Last Post: Apr 23rd 2010, 10:34 PM
  5. Inverse Circular Function, help!!!
    Posted in the Trigonometry Forum
    Replies: 5
    Last Post: Aug 23rd 2008, 05:45 PM

/mathhelpforum @mathhelpforum