x(t) = sin t
Energy
$ E=\int_0^{2\pi}{|sin(t)|^2dt} $
$ =\frac{\int_0^{2\pi}(1-cos(2t))dt}{2} $
$ =\frac{t-\frac{1}{2}sin(2t)}{2}|_{t=0}^{t=2\pi} $
$ =\frac{1}{2}(2\pi-0-0+0) $
$ =\pi $
Power
$ P=\frac{1}{2\pi-0}\int_0^{2\pi}{|sin(t)|^2dt} $
$ P=\frac{1}{2\pi}E $
