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FindRoot and two Parametric Functions

Posted 10 years ago

I am trying to find the three intersection points of r1[t] = {2 Cos[t], 2 Sin[t]} and r2[t] = {3 Cos[t], Sin[t] - 1} using FindRoot but keep getting various error messages no matter what I do. Any help is appreciated. Also, I would like to designate them both as the same variable but give them different colors using PlotStyle. Currently I am only able to do so by designating them as two separate variables. I am new to mathematica so please be as basic as possible. Code is attached.

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