Question

What is the period of `f(t)=sin( ( 7 t ) /5 )`?

Answer 1

`(10/7)pi`

Explanation:

If f(t+P) = f(t) and P is the least possible vale, then f(t) is periodic with period P.
`sin k(t+(2pi)/k)= sin (kt+2pi)=sin kt`
So, the period of sin kt is `(2pi)/k`.
Here, k = `7/5`. So, the period is `(10pi)/7`..