Does `cos omegat +sin2 omega t +cos 4 omega t ` represent periodic motion ? If yes, then find the period`( omega` is any positive constant) .
Hint `:` ( Each term represents a periodic function with different angular freuency . Find the smallest interval of time after which the sum of three terms repeats ) .

Explanation

To determine if the function \( y = \cos(\omega t) + \sin(2\omega t) + \cos(4\omega t) \) represents periodic motion, we need to analyze the periodicity of each term and find the overall period of the sum.

### Step-by-Step Solution:

1. **Identify the Periods of Each Term**:
- The period of \( \cos(\omega t) \):
\[
T_1 = \frac{2\pi}{\omega}
...