The displacement of a particle is represented by the equation `y=3cos((pi)/(4)-2omegat).`
The motion of the particle is

Options

A. simple harmonic with period `2pi//omega`
B. simple harmonic with period `pi//omega`
C. periodic but not simple harmonic
D. non-period

Explanation

To determine the nature of the motion of the particle described by the equation \( y = 3 \cos\left(\frac{\pi}{4} - 2\omega t\right) \), we will analyze the equation step by step.

### Step 1: Identify the Form of the Equation
The given equation is of the form:
\[ y = A \cos(\theta) \]
where \( A = 3 \) and \( \theta = \frac{\pi}{4} - 2\omega t \).
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