Question

What is the period of `f(theta)= sin 7 t - cos 5 t`?

Answer 1

`2pi`

Explanation:

Period of sin (7t) --> `(2pi)/7`
Period of cos (5t) --> `(2pi)/5`
Period of f(t) --> least common multiple of (2pi)/7 and (2pi)/5 --> `2pi`
`(2pi)/7` x (7) --> `2pi`
`(2pi)/5` x (5) --> `2pi`