Question

What is the period of `f(t)=sin( 7t )+ cos( (9 t)/8 )`?

Answer 1

`16pi`

Explanation:

Period of sin (7t) --> (2pi)/7
Period of `cos ((9t)/8)` --> `((8)(2pi))/9 = (16pi)/9`
Least common multiple of `(2pi)/7` and `(16pi)/9` --> `16pi`
Period of f(t) --> `16pi`