Topic: Signals and Systems
Find the fundamental period T of the following continuous signal $x(t)=20~cos(10\pi t+\frac{\pi}{6})$
- A. $\frac{\pi}{6}sec$
- B. $\frac{20\times10\pi}{T}sec$
- C. 5 sec
- D. $\frac{1}{5}sec$
Answer: D. $\frac{1}{5}sec$
Explanation: $x(t)=20~cos(10~\pi t)+\frac{\pi}{6}$\n$\omega=\frac{2\pi}{T}$\n$T=\frac{2\pi}{\omega}=\frac{2\pi}{10\pi}=\frac{1}{5}sec.$