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If x=acostheta,y=bsintheta, then prove t...

If `x=acostheta,y=bsintheta,` then prove that `(d^3y)/(dx^3)=(3b)/(a^3)cos e c^4thetacotthetadot`

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To prove that \(\frac{d^3y}{dx^3} = \frac{3b}{a^3} \cos^4 \theta \cot \theta\), given \(x = a \cos \theta\) and \(y = b \sin \theta\), we will follow these steps: ### Step 1: Find \(\frac{dx}{d\theta}\) and \(\frac{dy}{d\theta}\) Given: \[ x = a \cos \theta \quad \text{and} \quad y = b \sin \theta \] ...
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