Find the output sequence of a discrete-time integrator, , when its input is a sinusoidal waveform of peak height 1 at and its initial state is zero. In other words, the input waveform is the series of...

Find the output sequence of a discrete-time integrator, , when its input is a sinusoidal waveform of peak height 1 at and its initial state is zero. In other words, the input waveform is the series of numbers . Using a frequency analysis, what is the magnitude and phase response for at ? Check the frequency domain result with the time domain result.