Question

How do we find the period of `Sin(3x) + cos(5x)`?

Answer 1

The period of sin 3x is `(2pi)/3.`

The period of cos 5x is`(2pi)/5`

Their common period is the least multiple of `(2pi)/3 and (2pi)/5`, that is 2pi.

`(2pi)/3 . (3) = 2pi`
`(2pi)/5 . (5) = 2pi`