ID: Class: 12 Subject: Math Topic: Second Order Derivative Type: Long (LA) Year: 2025

Question:

If \(x = a \left( \cos \theta + \log \tan \frac{\theta}{2} \right)\) and \(y = \sin \theta\), then find \(\frac{d^2y}{dx^2}\) at \(\theta = \frac{\pi}{4}\).