Determine Periods of CT Signals

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The discussion focuses on determining the periodicity of various continuous-time (CT) signals. The first signal, x(t)=2sin(10πt-30 degrees), is periodic with a period of 0.1 seconds. The second signal, x(t)=2cos(√2πt), is also periodic, but its period is not a simple rational number, making it more complex to define. The third signal, x(t)=2sin(√πt), is non-periodic due to the irrational frequency. Lastly, the fourth signal, x(t)=2cos(t+60 degrees), is periodic with a period of 2π seconds. Understanding these properties is crucial for analyzing signal behavior in various applications.
jonbrutal
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Hi everyone

I really don't know how to start this questions, please help me. Thank you in advance for all your help & support.

Determine if each of the following CT signals is periodic. If periodic find it period.
a) x(t)=2sin(10$$\pi$$t-30degrees)
b) x(t) = 2 cos ($$\sqrt$$2$$\pi$$t)
c)x(t) = 2 sin ($$\sqrt$$$$\pi$$t)
d) x(t) = 2 cos (t+ 60degrees)
 
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