Question

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

Answer 1

`12pi`

Explanation:

Period of `tan ((5pi)/12) --> (12pi)/5`
Period of `cos (pi/3)` --> `3(2pi) = 6pi`
Least common multiple of `(12pi)/5` ans `6pi` --> `12pi`
Period of f(t) --> `12pi`