Which of the following functions of time represent (a) simple harmonic motion and (b) periodic but not simple harmonic motion? Give the period for each case.
(i)` sinomegat-cosomegat` (ii) `sin^(2)omegat` (iii) `cosomegat+2sin^(2)omegat`

Explanation

To determine whether the given functions represent simple harmonic motion (SHM) or periodic but not SHM, we will analyze each function step by step.

### Given Functions:
1. \( x_1 = \sin(\omega t) - \cos(\omega t) \)
2. \( x_2 = \sin^2(\omega t) \)
3. \( x_3 = \cos(\omega t) + 2\sin^2(\omega t) \)

### Step-by-Step Solution:
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