Question

What is the period of `f(theta) = tan ( ( 12 theta)/7 )- sec ( ( 25 theta)/ 6 )`?

Answer 1

`84pi`

Explanation:

Period of `tan ((12t)/7) --> (7pi)/12`
Period of `sec ((25t)/6) --> (12pi)/25`
Find least common multiple of `(7pi)/12 and (12pi)/25`

`(7pi)/12` ..x ...(12)(12) ...--> `84pi`
`(12pi)/25` ...x ...(25)(7)...--> `84pi`

Period of f(t) --> `84pi`