Question

What is the period of `f(t)=sin( t / 30 )+ cos( (t)/ 6 )`?

Answer 1

#60pi.

Explanation:

The period of sin kt is `2pi/k` and so is the period of cos kt..

Here, the period of `sin (t/30) = 60pi` and the period of `cos (t/6)=12pi`.

So,. the period of the sum is the least common multiple of the separate periods = `60pi`.