Question

What is the period of `f(t)=sin( ( 3t )/2 )+ cos( (5 t)/8 )`?

Answer 1

`16pi`

Explanation:

Period of `sin (3t)/2 --> (4pi)/3`
Period of `cos (5t)/8 = (16pi)/5`
Find least common multiple of `(4pi)/3 and (16pi)/5`
`(4pi)/3` ....x ...(3)(4) ... --> `16pi`
`(16pi)/5` ... x ...(5) ... --> `16pi`

Period of `f(t) --> 16pi`