Question

What is the period of `f(theta) = tan ( ( 13 theta)/12 )- cos ( ( theta)/ 3 )`?

Answer 1

`24pi`

Explanation:

Period of `tan ((13t)/12)` --> `(12(2pi))/(13) = (24pi)/13`
Period of `cos (t/3)` ---> `6pi`
Find least common multiple of (24pi)/13 and `6pi`

`(24pi)/13` ... x... (13) ... --> `24pi`
`6pi` ..........x ...(4) --- --> `24pi`

Period of f(t) ---> `24pi`