Find `(dy)/(dx),`if `y=12(1-cost), x=10(t-sint)`

Explanation

To find \(\frac{dy}{dx}\) given the equations \(y = 12(1 - \cos t)\) and \(x = 10(t - \sin t)\), we will use the chain rule. We will first differentiate \(y\) and \(x\) with respect to \(t\), and then we will find \(\frac{dy}{dx}\) using the relation \(\frac{dy}{dx} = \frac{dy/dt}{dx/dt}\).

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

Given:
\[ y = 12(1 - \cos t) \]
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