Question

What is the period of `f(theta) = tan ( (15 theta)/7) - cos ( (4 theta)/ 5 )`?

Answer 1

`35pi`

Explanation:

Period of `tan ((15t)/7)` --> `(7pi)/15`
Period of `cos ((4pi)/5)` --> `(10pi)/4 = (5pi)/2`
Find Least Common Multiple of `(7pi)/15` and `(5pi)/2`

`(7pi)/15` .... x ....(15)(5) .... --> `35pi`
`(5pi)/2` ......x ....(2)(7)....... --> `35pi`

Period of f(t) --> `35pi`