Find Cartesian Equation and identify it r2sintheta2costheta

Find Cartesian Equation and identify it

r=2sin(theta)+2cos(theta)

is this line, circle, ellipse or parabola

Solution

Just multiply both sides by r and then use rcos(theta) = x and rsin(theta) = y and r^2 = x^2 + y^2. So you get r^2 = 2rsin(theta) + 2rcos(theta), or x^2 + y^2 = 2y + 2x.
Find Cartesian Equation and identify it r=2sin(theta)+2cos(theta) is this line, circle, ellipse or parabolaSolution Just multiply both sides by r and then use r

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