Results 1 to 5 of 5

Math Help - Inverse Issues

  1. #1
    Newbie
    Joined
    Apr 2011
    Posts
    5

    Inverse Issues

    Is the inverse of f^(-1) (x) specifically sin^(-1) (x) [arcsinx] or does the inverse of f^(-1) (x) apply to every trigonometric inverse?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Aug 2007
    From
    USA
    Posts
    3,110
    Thanks
    2
    The inverse of f^(-1)(x) is f(x).

    Maybe I don't understand the question.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Apr 2011
    Posts
    5
    Maybe I copied something wrong in my calculus notes?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Super Member TheChaz's Avatar
    Joined
    Nov 2010
    From
    Northwest Arkansas
    Posts
    600
    Thanks
    2
    Is the inverse of f^(-1) (x) ... like TK said.. the inverse of the inverse is the original function.

    ...specifically sin^(-1) (x) [arcsinx] ... yes, sin^(-1)(x) is also known as arcsin(x).

    ...does the inverse of f^(-1) (x) apply to every trigonometric inverse? yeah... like TK said. What are you talking about??
    Follow Math Help Forum on Facebook and Google+

  5. #5
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,598
    Thanks
    1421
    Strictly speaking, the trig functions don't have inverses because they are not "one to one". That is, sin(0)= sin(\pi)= 0 so what should sin^{-1}(0) be?. What we can do is restrict the functions: if we restrict x to be between -\pi and \pi then It is one to one and so has an inverse (and sin^{-1}(0)= 0).

    The notation, f^{-1}(x), can be used for the inverse of any function that has an inverse. "arcsin(x)" is a different notation that means exactly the same as " sin^{-1}(x)".
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. lost of issues
    Posted in the Calculus Forum
    Replies: 5
    Last Post: March 16th 2010, 03:41 PM
  2. intergration issues
    Posted in the Calculus Forum
    Replies: 1
    Last Post: February 26th 2009, 03:20 PM
  3. Please help with basic issues
    Posted in the Advanced Statistics Forum
    Replies: 10
    Last Post: April 14th 2008, 03:34 PM
  4. Absolute Value Issues
    Posted in the Math Topics Forum
    Replies: 5
    Last Post: February 2nd 2008, 02:48 PM
  5. [SOLVED] Trig issues...
    Posted in the Trigonometry Forum
    Replies: 8
    Last Post: May 27th 2006, 01:40 AM

Search Tags


/mathhelpforum @mathhelpforum