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

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(52879) (Show Source): You can put this solution on YOUR website!
.


The domain of   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    is

    (a)   <= x < ,  n = 0, +/-1, +/-2, . . .    (1-st quadrant)

and

    (b)   <= x <   n = 0, +/-1, +/-2, . . .    (3-rd quadrant)

Solved.

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