Which of the following functions of time represented (a) periodic and (b) non-periodic motion ? Given the period for each case of periodic motion `( omega` is any positive constant(i)`sin omega t-cos omegat(ii) log ( 2 omega)`

Explanation

To solve the question regarding periodic and non-periodic functions of time, we will analyze each function step by step.

### Step 1: Analyze the first function \( y = \sin(\omega t) - \cos(\omega t) \)

1. **Identify the nature of the function**:
- Both \( \sin(\omega t) \) and \( \cos(\omega t) \) are periodic functions.
- The sine and cosine functions have a period of \( 2\pi \).

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