SOLUTION: How would you find the domain of the function y=√tanx I believe that all I would have to do is find when the input of tanx causes the answer to be negative like 3pi/4 is that cor

Algebra ->  Functions -> SOLUTION: How would you find the domain of the function y=√tanx I believe that all I would have to do is find when the input of tanx causes the answer to be negative like 3pi/4 is that cor      Log On


   

Question 1195928: How would you find the domain of the function y=√tanx I believe that all I would have to do is find when the input of tanx causes the answer to be negative like 3pi/4 is that correct?
Answer by ikleyn(53763) About Me  (Show Source):
You can put this solution on YOUR website!
.

The domain of sqrt%28tan%28x%29%29  is where tan(x) is DEFINED and where tan(x) is non-negative.


tan(x) is non-negative in the first and the third quadrants.


Therefore, the domain of  sqrt%28tan%28x%29%29  is

    (a)  2%2Api%2An <= x < 2%2Api%2An%2Bpi%2F2,  n = 0, +/-1, +/-2, . . .    (1-st quadrant)

and

    (b)  2%2Api%2An+%2B+pi <= x < 2%2Api%2An+%2B+3%2Api%2F2  n = 0, +/-1, +/-2, . . .    (3-rd quadrant)

Solved.