Find the area of the region bounded by `y = sinx, y = cosx ` and ordinates `x = 0, x = pi//2`.

Explanation

To find the area of the region bounded by the curves \( y = \sin x \), \( y = \cos x \), and the ordinates \( x = 0 \) and \( x = \frac{\pi}{2} \), we will follow these steps:

### Step 1: Determine the points of intersection
First, we need to find the points where \( \sin x \) and \( \cos x \) intersect within the interval \( [0, \frac{\pi}{2}] \).

Set \( \sin x = \cos x \):
\[
\tan x = 1 \implies x = \frac{\pi}{4}
...