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Question

Find dydx, if x=a(θ+sinθ) and y=a(1cosθ).

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Solution

x=a(θ+sinθ)
Differentiating w.r.t. θ, we get,
dxdθ=a(1+cosθ)

y=a(1cosθ)
Differentiating w.r.t. θ, we get,
dydθ=asinθ


dydx=dy/dθdx/dθ=asinθa(1+cosθ)
dydx=sinθ1+cosθ

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