Question #129881

Determine whether the following signals are periodic or non periodic if the signal is periodic find the fundamental period of

1. x (t) = 6cos 5/4 t + 2 cos 9/7 t

2. x (t) = sin√3t +cos √3t

1. x (t) = 6cos 5/4 t + 2 cos 9/7 t

2. x (t) = sin√3t +cos √3t

Expert's answer

Consider the function

This function is periodic with a period of 175.9

To avoid ambiguity, consider two functions as a second function:

The first one is a periodic function with a period of

How did we find it? Simplify the sum of a sine and cosine of the same argument, you get

This is a simple sine function that is certainly periodic. The period of a periodic function is

The function 2.2 is not a periodic function.

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