Question

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

Answer 1

The period is `=30pi`

Explanation:

The period of the sum of 2 periodic functions is the LCM of their periods.

The period of `sin(t/3)` is `T_1=(2pi)/(1/3)=6pi`

The period of `sin(2/5t)` is `T_1=(2pi)/(2/5)=5pi`

The LCM of `(6pi)` and `(5pi)` is `=(30pi)`

So,

The period is `=30pi`