1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Inverse cosine function.

  1. May 20, 2009 #1
    I have a cosine function, namely the function for oscillation x=A cos(wt).

    I want to separate the t out here, so I can solve for it. My teacher gave the the answer to be t= (arccos (x/a)/2pi)*T, but I can't quite see where he came up with that. Would anyone be as kind as to give me a more elaborate explanation of how this transition was made.


    (2pi and T comes from w=2pi/T).

    Sorry for bad English, not a native English speaker obviously :)
     
  2. jcsd
  3. May 20, 2009 #2

    Cyosis

    User Avatar
    Homework Helper

    The inverse function of the cosine is the arc cosine. If a function [itex]f(x)[/itex] has an inverse [itex]f^{-1}(x)[/itex] then [itex]f^{-1}(f(x))=f(f^{-1}(x))=x[/itex].

    Divide the equation on both sides by A then take the arccos on both sides. Can you calculate [itex]\arccos(\cos(\omega t)) [/itex]now?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Inverse cosine function.
Loading...