Question

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

Answer 1

Answer:

The domain and range both are

{x | - ∞ < 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 | - ∞ < x < ∞}