Question

Let S be the triangular region whose vertices are (0, 0), $(0,\frac{\pi}{2})$ and $(\frac{\pi}{2},0)$. The value of $\iint\limits_S\sin(x)\cos(y)dx\ dy$ is equal to ________. (rounded off to two decimal places)

Answer 1

The correct answer is 0.49 to 0.51. (approx)