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 < ∞}