Question

What is the period of `f(theta) = tan ( ( 3 theta)/7 )- sec ( ( 7 theta)/ 6 )`?

Answer 1

`84pi`

Explanation:

Period of `tan ((3t)/7) --> (7pi)/3`
Period of `sec ((7t)/6) --> (12pi)/7`
Find least common multiple of `(7pi)/3 and (12pi)/7`

`(7pi)/3` .... x (3)(12) ... --> `84pi`
`(12pi)/7` ....x (7)(7) ... --> `84pi`

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