If `x=3sint-sin3t ,y=3cos t-cos3t ,"find "(dy)/(dx)" at "t=pi/3dot`

Explanation

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

### Step 1: Differentiate \(y\) with respect to \(t\)
Given:
\[ y = 3\cos t - \cos 3t \]
Using the chain rule, we differentiate \(y\):
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