Question

What is the period of `f(theta) = tan ( ( 5theta)/12 )- cos ( ( 5 theta)/ 3 )`?

Answer 1

`(12pi)/5`

Explanation:

Period of tan x --> `pi`
Period of `tan ((5x)/12)` --> `(12pi)/5`
Period of cos x -->`2pi`
Period of cos ((5x)/3) --> `(6pi)/5`
Least multiple of `(12pi)/5` and `(6pi)/5` --> `(12pi)/5`
Period of f(x) -->`(12pi)/5`