Question

What is the period of `f(theta) = tan ( ( 11 theta)/12 )- cos ( ( 3 theta)/ 4 )`?

Answer 1

`24pi`

Explanation:

Period of `tan ((11pi)/12)` ---> `(12pi)/11`
Period of `cos ((3t)/4)` ---> `(8pi/3)`
Period of f(t) --> least common multiple of `(12pi)/11 and (8pi)/3`.

`(12pi)/11` .....x ..(11)(2) --> `24pi`
`(8pi)/3`...........x ...(3)(3) --> `24pi`

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