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 Tan Function

  1. Feb 24, 2009 #1
    1. The problem statement, all variables and given/known data

    State the range

    y=inverse tan( 2x)
    3. The attempt at a solution

    The original range of inverse tan is ( -pi/2, pi/2)

    Should tan inverse (2x) have (-pi, pi) as its range?
     
  2. jcsd
  3. Feb 24, 2009 #2

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    No. 2x changes x values, the domain, not the range. The range of tan-1(x) is (-pi/2, pi/2) because as x goes to negative infinity, tan-1[/sup](x) goes to -pi/2 and as x goes to infinity, tan-1(x) goes to pi/2.

    As x goes to -infinity, what does 2x go to? What does tan-1
    (2x) go to?
    As x goes to infinity, what does 2x go to? What does tan-1
    (2x) go to?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook