Convert to polar equation x2 2x y2 0Solutionx2y22x0 We n

Convert to polar equation : x² - 2x + y² = 0

Solution

(x^2+y^2)-2x=0

We now use the formulas giving the relationship between polar and rectangular coordinates: R ² = x² + y ², y = R sin t and x = R cos t:

R^2-2Rcos t=0

R(R-2cos t)=0

hence,

R=0

or

R=2cos t