GATE EC 2019 Set 1 — Question 31

NAT+1 / -0EasyPeriodic & Aperiodic SignalsContinuous-Time SignalsSignals & Systems

Signals & Systems → Continuous-Time Signals → Periodic & Aperiodic Signals

Last updated 5 September 2026

Question

f(t) = 1 + 2 \cos(\pi t) + 3 \sin\left(\frac{2\pi}{3}t\right) + 4 \cos\left(\frac{\pi}{2}t + \frac{\pi}{4}\right)

f(t) = 1 + 2 \cos(\pi t) + 3 \sin\left(\frac{2\pi}{3}t\right) + 4 \cos\left(\frac{\pi}{2}t + \frac{\pi}{4}\right)

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f(t) = 1 + 2 \cos(\pi t) + 3 \sin\left(\frac{2\pi}{3}t\right) + 4 \cos\left(\frac{\pi}{2}t + \frac{\pi}{4}\right)

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