Question

What is the period of `f(t)=sin( ( 3t )/2 )+ cos( (5 t)/9 )`?

Answer 1

`36pi`

Explanation:

Period of `sin ((3t)/2)` --> `(4pi)/3`
Period of `cos ((5t)/9)` --> `(18pi)/5`
Least multiple of 4/3 and 18/5 --> 218 = 49 = 36
Period of `f(t) = 36pi`