If x = a (cos θ + θ sin θ), y = a (sin θ – θ cos θ), prove tha – InterviewSolution

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1.	If x = a (cos θ + θ sin θ), y = a (sin θ – θ cos θ), prove that d2xdθ2=acos θ-θ sin θ,d2ydθ2=asin θ+θ cos θ and d2ydx2=sec3θa θ.
Answer» If x = a (cos θ + θ sin θ), y = a (sin θ – θ cos θ), prove that $\frac{d^{2} x}{d θ^{2}} = a (\cos θ - θ \sin θ), \frac{d^{2} y}{d θ^{2}} = a (\sin θ + θ \cos θ) and \frac{d^{2} y}{d x^{2}} = \frac{\sec^{3} θ}{a θ} .$

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