Is $x(t) = \cos t + \sin\left(\frac{1}{2}t\right)$ a periodic signal?

1. Is sin 2t a periodic signal?
2. Is cost +sint periodic?
3. How do you check whether the signal is periodic or not?
4. Is cos 2 2πt a periodic signal?

Is sin 2t a periodic signal?

So, sin( 2πt ) is non-periodic. Any analog sinusoid or harmonic signal is always periodic. As the sinusoids are periodic and harmonic are expressed in terms of sinusoids only. Additional phase or Amplitude will not affect the periodicity of a signal.

Is cost +sint periodic?

you answer is correct: x(t) is periodic. Save this answer.

How do you check whether the signal is periodic or not?

In mathematical terms a signal x(t) is periodic if there is a number T such that for all t Equation 10.10 holds. The smallest positive number T that satisfies Equation 10.10 is the period and it defines the duration of one complete cycle. The fundamental frequency of a periodic signal is given by Equation 10.11.

Is cos 2 2πt a periodic signal?

It is. In general, a function defined on is periodic if we can find a value such that for every and . In this case we call the period of the function or signal. We often choose the value to be positive.