Question

Calculate the time period of the waveform x(t)=1cot(πt+7π).

(a) 0.5 sec

(b) 1 sec

(c) 3 sec

(d) 5 sec

This question was addressed to me by my school principal while I was bunking the class.

Asked question is from Dynamic Braking of DC Series Motors topic in portion Braking of DC Motors & Induction Motors of Electric Drives

Answer 1

The correct answer is (b) 1 sec

Easiest explanation: The fundamental time period of the cot wave is π. The time period of x(t) is a π÷π=1 sec. The time period is independent of phase shifting and time shifting.