Show that the motion of a particle represented by `y=sinomegat-cosomegat` is simple harmonic with a period of `2pi//omega`.

Explanation

To show that the motion of a particle represented by the equation \( y = \sin(\omega t) - \cos(\omega t) \) is simple harmonic motion (SHM) with a period of \( \frac{2\pi}{\omega} \), we can follow these steps:

### Step 1: Rewrite the Equation
The given equation is:
\[ y = \sin(\omega t) - \cos(\omega t) \]
We want to express this in a form that resembles either \( y = A \sin(\omega t + \phi) \) or \( y = A \cos(\omega t + \phi) \).
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