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Find dy/dx, when x = ae^θ(sinθ – cosθ), y = ae^θ(sinθ + cosθ)

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Find dy/dx, when x = aeθ(sinθ – cosθ), y = aeθ(sinθ + cosθ)

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Given x = aeθ(sinθ – cosθ)

On differentiating x with respect to θ

and y = aeθ(sinθ + cosθ)

On differentiating y with respect to θ

On dividing eqn. (2) by eqn. (1)

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