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
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.