Correct Answer - Option 2 : 2 only

**Concept:**

The function f(x):

- Increases for the values x of having f'(x) > 0
- Decreases for the values of x having f'(x) < 0

**Calculation:**

Given function is f(x) = sin x

∴ f'(x) = cos x

For x ∈ (0, \(π\over2\)), cos x > 0 and for x ∈ (\(π\over2\), π), cos x < 0

∴ For x ∈ (0, π), f(x) increases to max at \(π\over2\) and then decreases to min at π.

For x ∈ \(\left(\dfrac{5\pi}{2},3\pi\right)\), cos x < 0

∴ f(x) decreases for x ∈ \(\left(\dfrac{5\pi}{2},3\pi\right)\)

**Statement 1 is false and statement 2 is correct**