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)`
Least common multiple of `(2pi)/7` and `(2pi)/5` --> `2pi`

`((2pi)/7)` x (7) --> `2pi`
`((2pi)/5)` x (5) --> `2pi`

Answer: Period of f(t) --> `2pi`