Question

What is the period of `f(theta) = tan ( (5 theta)/7) - cos ( (2 theta)/9)`?

Answer 1

`63pi`

Explanation:

Period of `tan ((5t)/7) --> (7pi)/5`
Period of `cos ((2t)/9) --> (18pi)/2 = 9pi`
Find least common multiple of `(7pi)/5 and 9pi`
`(7pi)/5` ...x... (5)(9) ...--> `63pi`
`9pi` ..... x ... (7) .... --> `63pi`

Period of f(t) --> `63pi`