Question

What is the period of `f(t)=sin(t/2)+ sin( (2t)/5)`?

Answer 1

`20pi`

Explanation:

Period of sin t --> `2pi`
Period of `sin (t/2)` --> `4pi`
Period of `sin ((2t)/5)` --> `(10pi)/2= 5pi`
Least multiple of 4pi and 5pi --> 20 pi
Common period of f(t) --> `20pi`