Question

What is the period of `f(t)=sin( (t)/14 )+ cos( (t)/5 )`?

Answer 1

Period `T=140pi`

Explanation:

Given `f(t)=sin(t/14)+cos(t/5)`

The period for `sin(t/14)=(2pi)/(1/14)=28pi`

The period for `cos(t/5)=(2pi)/(1/5)=10pi`

The period for `f(t)=sin(t/14)+cos(t/5)`

`T=LCM(28pi, 10pi)=140pi`

God bless....I hope the explanation is useful.