A simple harmonic oscillator of angular frequency `2 "rad" s^(-1)` is acted upon by an external force `F = sint N`. If the oscillator is at rest in its equilibrium position at `t = 0`, its position at later times is proportional to :-

Options

A. `sin t+(1)/(2)cos2t`
B. `cos t-(1)/(2)sin 2t`
C. `sin t-(1)/(2)sin 2t`
D. `sin t+(1)/(2) sin 2t`

Answer

C