Question

What is the period of `f(theta) = tan ( (15 theta)/4 )- cos ( ( theta)/ 5 )`?

Answer 1

`20pi`

Explanation:

Period of `tan ((15t)/4)` --> `(4pi)/15`
Period of cos (t/5) --> `10pi`
Period of f(t) --> least common multiple of `(4pi)/15` and `10pi`

(4pi)/15 ...x ...(75) ---> `20pi`
`10pi` ...x...(2) ---> `20pi`

Period of f(t) --> `20pi`