Results 1 to 4 of 4

Math Help - Domain of tangent functions?

  1. #1
    Junior Member
    Joined
    Jul 2011
    Posts
    34

    Domain of tangent functions?

    Hi, how do i find the domains of tangent functions. For instance we were given a practice problem: y = 5*tan(x+(pi/2)) - 3. I know the domain is all numbers not equal to pi*k. But how do I do the math to find that out and how can I do it for different tangent functions as well?

    Thank you!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor Siron's Avatar
    Joined
    Jul 2011
    From
    Norway
    Posts
    1,250
    Thanks
    20

    Re: Domain of tangent functions?

    In general the domain of the tangens function is given by \mathbb{R}\ \{\frac{\pi}{2}+k\pi\}. If you solve the equation x+\frac{\pi}{2}=\frac{\pi}{2}+k \pi then you know automatically the values wherefore x+\frac{\pi}{2}\neq\frac{\pi}{2}+k\pi which you need to define the domain.
    Last edited by Siron; September 28th 2011 at 03:23 AM.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Jul 2011
    Posts
    34

    Re: Domain of tangent functions?

    what is the R you gave for the general domain of tangent functions. And I noticed you used pi/2 as your example, would i always use pi/2 in calculating it?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor Siron's Avatar
    Joined
    Jul 2011
    From
    Norway
    Posts
    1,250
    Thanks
    20

    Re: Domain of tangent functions?

    \mathbb{R} is the set of the real numbers and yes because \tan\left(\frac{\pi}{2}\right) doesn't exist.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. domain of functions 1
    Posted in the Algebra Forum
    Replies: 4
    Last Post: January 21st 2010, 01:29 PM
  2. domain of functions 3
    Posted in the Algebra Forum
    Replies: 1
    Last Post: January 21st 2010, 01:26 PM
  3. domain of functions 4
    Posted in the Algebra Forum
    Replies: 6
    Last Post: January 21st 2010, 01:24 PM
  4. domain of functions 2
    Posted in the Algebra Forum
    Replies: 5
    Last Post: January 21st 2010, 01:20 PM
  5. Domain Of Functions
    Posted in the Algebra Forum
    Replies: 6
    Last Post: November 6th 2009, 05:24 PM

Search Tags


/mathhelpforum @mathhelpforum