Question

What is the period of `f(theta) = tan ( ( 12 theta)/7 )- sec ( ( 17 theta)/ 6 )`?

Answer 1

`84pi`

Explanation:

Period of `tan ((12t)/7) --> (7pi)/12`
Period of `sec ((17t)/6) --> (12pi)/17`
Find least common multiple of `(7pi)/12` and `(12pi)/17`

`(7pi)/12` ...x...(12)(12)... --> `84pi`
`(12pi)/17` ...x ..(17)(7) ... --> `84pi`

Period of f(t) --> 84pi