What is the domain and range of y=tan x?

1 Answer
Oct 10, 2015

Domain: #(theta|theta!=kpi/2#, where k is an odd integer)
Range: #(-oo,oo)#

Explanation:

Remember that #tan=sin/cos# therefore, you will have a vertical asymptope whenever cos=0. Cos=0 every odd multiple of #pi/2#.

If you plug y=tan(x) into a graphing calculator you will see that the ends of each section continue on infinitely along the y-axis.