Question

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

Answer 1

The domain and range both are

- ∞ < x < ∞

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