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!

B Domain of tan

  1. Nov 1, 2017 #1
    I found in a book that the domain of tan x was {(2n+1)π/2 , n∈I}
    The graph however shows that for every value of x , the function takes on a value .So, why is the domain like this?
     
  2. jcsd
  3. Nov 1, 2017 #2

    fresh_42

    Staff: Mentor

    ##\tan(x) = \frac{\sin(x)}{\cos(x)}## so whenever ##\cos(x) =0## then ##\tan(x)## isn't defined.
     
  4. Nov 1, 2017 #3

    jbriggs444

    User Avatar
    Science Advisor

    That set is the complement of the domain of the tan function -- the set of x values where tan x is undefined.
     
  5. Nov 2, 2017 #4
    So that set does not reflect the defined values of the function,just the undefined ones. Right?
    Correct me if I am wrong.
     
  6. Nov 2, 2017 #5

    Mark44

    Staff: Mentor

    The set you wrote in post #1 is not the defined values of the function. The range of the tangent function (set of all output values) is all real numbers. That set in post #1 lists (by a formula) all of the numbers that are not in the domain of tan(x).
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Domain of tan
  1. Tan 50 (Replies: 4)

  2. Domain notation (Replies: 8)

  3. Notation for domains (Replies: 1)

  4. Tan^2(2x) and Tan(2x?) (Replies: 14)

  5. Approximation of tan() (Replies: 9)

Loading...