MCQ
Identify the function which represents a periodic motion.
- A$e ^{-\omega t}$
- B$e ^{{\omega t }}$
- C$\log _{ e }(\omega t )$
- ✓$\sin \omega t+\cos \omega t$
✓
Answer
Correct option: D.
$\sin \omega t+\cos \omega t$
d
For periodic function
For periodic function
$f(t)=f(t+T)$
where $T$ is time period of function
$\sin (\omega t+2 \pi)+\cos (\omega t+2 \pi)$
$=\sin \omega t+\cos \omega t$
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