Question

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

Answer 1

`36pi`

Explanation:

Period of `sin ((3t)/2)` -->`(4pi)/3`
Period of `cos ((2t)/9)` --> `(18pi)/2 = 9pi`
`(4pi)/3` ..x...(27) --> `36 pi`
`9pi`...x ...(4) --> `36 pi`
Period of f(t) --> `36pi`, least common multiple of `(4pi)/3`
and `9pi`.