Question

Function given by f(x) = sin x is strictly increasing in.

Options

• `(0, pi/2)`

• `(pi/2, pi)`

• `(- pi/2, 0)`

• Both `(0, pi/2)` and `(pi/2, pi)`

Answer 1

`(0, pi/2)`

Explanation:

`f^1(x) = cos x` is positive in the interval `(0, pi/2)`

⇒ `f(x)` is strictly increasing in `(0, pi/2)`