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If x = a(θ + sin θ), y = a(1 - cosθ) then show that dy/dx = tan(θ/2)

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If x = a(θ + sin θ), y = a(1 - cosθ) then show that dy/dx = tan(θ/2)

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We have

dx/dθ = a(1 + cos θ), dy/dθ = a(sin θ)

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