If `x=cost(3-2\ cos^2t)` and `y=sint(3-2s in^2t)` find the value of `(dy)/(dx)` at `t=pi/4`

Explanation

To find the value of \(\frac{dy}{dx}\) at \(t = \frac{\pi}{4}\) for the given equations \(x = \cos t (3 - 2 \cos^2 t)\) and \(y = \sin t (3 - 2 \sin^2 t)\), we will follow these steps:

### Step 1: Differentiate \(x\) and \(y\) with respect to \(t\)

1. **Differentiate \(x\)**:
\[ x = \cos t (3 - 2 \cos^2 t) \]
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