Question

What is the period of `f(theta) = tan ( ( 13 theta)/4 )- cos ( ( theta)/ 5 )`?

Answer 1

`20pi`

Explanation:

Period of `tan ((13t)4)` --> `(4pi)/13`
Period of `cos (t/5)` --> `10pi`
Find least common multiple of `(4pi)/13 and 10pi`

`(4pi)/13` ... x (5)(13) ... --> `20pi`
`10pi` ... x (2) ... --> `20pi`