If x = a (θ - sin θ) and y = a (1 - cos θ), find y2 at θ = .

We have,x = aθ - sin θdxdθ = a1 - cos θy = a1 - cos θdydθ = a0 + sin θ = a sin θdydx = dydθ×dθdx = a sin θa1 - cos θ = sin θ1 - cos θdydx = 2 sin θ2 cos θ22 sin2θ2 = cot θ2d2ydx2 = -12 cosec2θ2 dθdxd2ydx2 = -12 cosec2θ2 × 1a1 - cos θd2ydx2θ=π = -12cosec2π2 × 1a1 - cos π =-12×1×12a = -14a 

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Find y2 at θ = .

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Find y2at θ = pi.

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Dear experts, I typed "pi" symbol in the question and in the post above ( Alt + 227 ) but it's not showing. Please fix this issue.

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