Question

What is the period of `f(theta) = tan ( ( 15 theta)/7 )- cos ( ( 5 theta)/ 6 )`?

Answer 1

`84pi`

Explanation:

Period of `tan ((15t)/7)`--> `(7pi)/15`
Period of `cos ((5pi)/6)` --> `(12pi)/5`
Find least common multiple of `(7pi)/15 and (12pi)/5`

`(7pi)/15` ... x (15)(12) ... --> `84pi`
`(12pi)/5` ... x (5)(7) ... --> `84pi`
Period of f(t) --> `84pi`