Question

How do you find the period of `sin3x+cos7x`?

Answer 1

The period is `=2pi`

Explanation:

The period of the sum of 2 periodic functions is the LCM of their periods.

The period of `sin3x` is `T_1=2/3pi=14/21pi`

The period of `cos7x` is `T_2=2/7pi=6/21pi`

The LCM of `14/21pi` and `6/21pi` is `=42/21pi`

Therefore,

the period is `T=2pi`