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 and to find its period, we can follow these steps:

### Step 1: Rewrite the Equation
We start with the given equation:
\[ y = \sin(\omega t) - \cos(\omega t) \]

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