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Q1) Determine whether the following signals are periodic or not. If periodic, specify the fundamental period and frequency in Hz. a) x(t)=cos^2(2pi t) b) x(t)=cos(t)+sin(2pi t) c) x(t)=e^sint

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Q1) Determine whether the following signals are periodic or not. If periodic, specify the
fundamental period and frequency in Hz.
a) x(t)=cos^2(2pi t)
b)
x(t)=cos(t)+sin(2pi t)
c) x(t)=e^sint

Q1) Determine whether the following signals are periodic or not. If periodic, specify the fundamental period and frequency in Hz. a) x(t)=cos^2(2pi t) b) x(t)=cos(t)+sin(2pi t) c) x(t)=e^sint

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a) The signal $x(t)=cos^{2}(2\pi t)$ is periodic. The fundamental period is $T = 1$ second, and the frequency is $f = 1/T = 1$ Hz.<br /><br />b) The signal $x(t)=cos(t)+sin(2\pi t)$ is periodic. The fundamental period is $T = 2\pi$ seconds, and the frequency is $f = 1/T = 1/(2\pi)$ Hz.<br /><br />c) The signal $x(t)=e^{sint}$ is not periodic.
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