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)=sinx ∴f′(x)=cosx For x∈(0,
π
2
),cosx>0 and for x∈(
π
2
,π),cosx<0 ∴ For x∈(0,π),f(x) increases to max at
π
2
and then decreases to min at π. For x∈(
5π
2
,3π),cosx<0 ∴f(x) decreases for x∈(
5π
2
,3π) Statement 1 is false and statement 2 is correct