What is the domain of the function y = tan x?

The domain and range both are

- ∞ < x < ∞

Step-by-step explanation:

We know that the x in tan (x) can take any value over real line and

tan (x) → ∞ as x → (π / 2)

and tan (x) → - ∞ as x → - (π / 2)

and tan (x) is strictly monotonically increasing in ( - (π / 2), (π / 2))

and tan (x) has a period of (π). since,

tan (x + π) = tan x

So the domain and range of tan (x) both are

x