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Q:

Given the signal
X (t) = cos t, if t<0
Sin t, if t?0
The correct statement among the following is?

A) Periodic with fundamental period 2? B) Periodic but with no fundamental period
C) Non-periodic and discontinuous D) Non-periodic but continuous
 
Answer & Explanation Answer: C) Non-periodic and discontinuous

Explanation: From the graphs of cos and sin, we can infer that at t=0, the function becomes discontinuous.
Since, cos 0 = 1, but sin 0 = 0
As 1 ? 0, so, the function X (t) is discontinuous and therefore Non-periodic.

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