If `f : R rarr R and g : R rarr R` be two mapping such that f(x) = sin x and g(x) = `x^(2)`, then
find the values of (fog) `(sqrt(pi))/(2) "and (gof)"((pi)/(3))`.

Explanation

To solve the problem, we need to compute two composite functions: \( (f \circ g)\left(\frac{\sqrt{\pi}}{2}\right) \) and \( (g \circ f)\left(\frac{\pi}{3}\right) \).

### Step 1: Define the functions
We have:
- \( f(x) = \sin x \)
- \( g(x) = x^2 \)

### Step 2: Compute \( (f \circ g)(x) \)
...