Question

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

Answer 1

`20pi`

Explanation:

Period of `sin ((3t)/2) --> (4pi)/3`
Period of `cos (2t/5) ---> 10pi/2 = 5pi`
Period of f(t) --> least common multiple of `5pi`
and `(4pi)/3` --> `20pi`
`(5pi)` x (4) --> `20pi`
(4pi)/3 x (15) --> `20 pi`