Question

What is the period of `f(theta) = tan ( ( 5theta)/12 )- cos ( ( theta)/ 4 )`?

Answer 1

`24pi`

Explanation:

Period of `tan ((5t)/12)` --> `(12pi)/5`
Period of cos (t/4) --> `8pi`
Least common multiple of `((12pi)/5) and (8pi)` --> `24pi`

`((12pi)/5) ..X.. (10) ->`24pi#

`(8pi)` ...X....(3) ....--> `24pi`

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