The range of a function consists of all its output values i.e. the numbers you get when you input numbers

from the domain into the function and perform the function operations on them.

Sometimes, a range can be all possible real numbers i.e. it has no limit.

Let us take some trigonometry functions:

1. We know that sin x lies between -1 to 1

Hence, the domain of sin x is [-1, 1]

=> -1 ≤ sin x ≤ 1

=> sin^-1 (-1) ≤ x ≤ sin^-1 (1)

=> -sin^-1 (1) ≤ x ≤ sin^-1 (1)

=> -π/2 ≤ x ≤ π/2

=> Range of sin x [-π/2, π/2]

In the same way, we can find the range of all other trigonometry functions.