The curve C has polar equation r = 2 sin (1 - cost)), for 9

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The curve C has polar equation r = 2 sin θ(1 - cost)), for θ ≤ 9 ≤ π.

Find dr/dθ and hence find the polar coordinates of the point of C that is furthest from the pole.

Sketch C.

Find the exact area of the sector from θ = 0 to θ ¼ π.

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