On the interval [0, 2pi] there is one point on the curve r=θ-2cosθ whose x-coordinate is 2. Find the y-coordinate there.

Answer: -3.764

Please show all your work.

On the interval [0, 2pi] there is one point on the curve r=θ-2cosθ whose x-coordinate is 2. Find the y-coordinate there.

Answer: -3.764

Please show all your work.

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and

approximate the solution by finding the intersections of two graphs. [Using Mac OS X's Grapher utility and GeoGebra.]

I'm stumped on how to do this analytically.

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