Question

What is the period of `f(t)=sin( ( 3t )/2 )+ cos( (9 t)/8 )`?

Answer 1

`(32pi)/3`

Explanation:

Period of `sin ((3t)/2)`--> `(4pi)/3`
Period of cos `((9t)/8)`--> `(16pi)/9`
Least multiple of `(16/9)` and `(4/3)`--> `(32/3)`
`(16/9).(6) = (32/3)`
`(4/3).(8) = (32/3)`

Period of `f(t) --> (32pi)/3`