Let a be a positive real numbers. In the coordinate plane denote by S the area of the figure bounded by the curve y=sinx (0≤x≤π) and the x-axis and denote T by the area of the figure bounded by the curves y=\sin x\ \left(0\leq x\leq \frac{\pi}{2}\right),\ y=a\cos x\ \left(0\leq x\leq \frac{\pi}{2}\right) and the x-axis. Find the value of a such that S:T=3:1. calculusintegrationanalytic geometrygeometrytrigonometrycalculus computations