Question

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

Answer 1

`84pi`

Explanation:

Period of `tan ((6t)/7)` --->`(7pi)/6`
Period of `sec ((7t)/6)` ---> `(12pi)/7`
Find least common multiple of `(7pi)/6 and (12pi)/7`
(7pi)/6 ...x ...(72) ---> `84pi`
(12pi)/7 ...x...(49) ---> `84pi`
Period of f(t) is `84pi`