Question

Which of the following trigonometric fuuctions has a range of apply all real numbers? Select all that apply.

Answer 1

y=tan x and y=cotx

Explanation:

We are given functions of all trignometric ratios and asked to find out which has range of all real numbers. Let us discuss one by one

1. y =sinx: False because -1≤sinx≤1 always

2. y=cosx:False because -1≤cosx≤1 always

3. y = tanx: True because tanx can take any value

4. y=cot x: True because cots x can take any value

5. y = csc x: False because this range does not lie between -1 and 1

6. y=sec xFalse because this range does not lie between -1 and 1