Question

What is the period of `f(theta) = tan ( ( 7 theta)/12 )- cos ( ( 3 theta)/ 4 )`?

Answer 1

`24pi`

Explanation:

Period of `tan ((7pi)/12)` --> `(12pi)/7`
Period of `cos ((3t)/4)` --> `(8pi)/3`
Find least common multiple of `(12pi)/7` and `(8pi)/3`
`(12pi)/7` ... x (7)(2) ...--> `24pi`
`(8pi)/3` ... x (3)(3) ... --> `24pi`
Period of f(t) --> `24pi`