Consider the following signal: [ x(t)=cos left(frac{1}{3} t+30^{circ}ight)+sin left(frac{2}{5} t+60^{circ}ight) ] Determine (a) Whether the signal is

Question:

Consider the following signal:
\[
x(t)=\cos \left(\frac{1}{3} t+30^{\circ}ight)+\sin \left(\frac{2}{5} t+60^{\circ}ight)
\]

Determine 

(a) Whether the signal is periodic, 

(b) Find the fundamental period and frequency, 

(c) What harmonics are present in \(x(t)\), 

(d) Determine the coefficients of exponential Fourier series, and 

(e) Determine the power of the signal using Parseval's theorem.

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