Question

What is the period of `f(theta) = tan ( ( 3 theta)/4 )- cos ( ( theta)/ 5 )`?

Answer 1

`20pi`

Explanation:

Period of tan t --> `pi`
Period of `tan (3t/4) --> (4pi/3)`
Period of `cos (t/5) --> 10pi`
Least multiple of 10pi and (4pi/3) is `20pi`

(4pi/3) x 15 --> 20pi
10pi x 2 --> 20pi

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