Question

Calculate the frequency of the waveform i(t) = sin(πt+π÷4)+sin(πt+π÷74).

(a) .5 Hz

(b) .8 Hz

(c) .1 Hz

(d) .9 Hz

I got this question by my school teacher while I was bunking the class.

Origin of the question is Solar Panels in section Solar and Battery Powered Drives of Electric Drives

Answer 1

Right choice is (a) .5 Hz

The best explanation: The fundamental time period of the sine wave is 2π. The time period of i(t) is L.C.M {2,2}=2 sec. The frequency of the waveform is 1/2 = .5 Hz. The time period is independent of phase shifting and time-shifting.