MediumParametric & polar

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §9.1 Polar Coordinates, #25 · Calculus · Parametric & polar

Substitute … into … and … to find … and … in…

This problem is about polar equations that give circles.

Substitute $r = sin θ$ into $x = r cos θ$ and $y = r sin θ$ to find $x$ and $y$ in terms of the parameter $θ$ . Then compute $x^{2} + y^{2}$ to reach the $x y$ equation.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §9.1 Polar Coordinates, #25

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