Question

Which of the following describes the domain of y=tan x, where n is any integer? (choices attached)

Please explain answer. Thank you!

Answer 1

So tanx is really sinx/cosx The domain of tanx is really the set of numbers where sinx/cosx exists, thus cosx cannot be zero because dividing by zero is impossible. Thus x cannot be any angle where cosx is equal to 0. cosx is 0 when x=pi/2 or 3pi/2 all the around the circle. That is the same as pi/2+npi which is D