Convert Equation from Polar to Rectangular Form
Equations in polar form are converted into rectangular form, using the relationship between polar and rectangular coordinates. Problems with detailed solutions are presented.
Problems on Converting Equation from Polar to Rectangular FormProblem 1Convert the polar equationto rectangular form. Solution to Problem 1We multiply both sides by R R = 4 sin t R 2 = 4 R sin t We now use the relationship between polar and rectangular coordinates: R 2 = x 2 + y 2 and y = R sin t to rewrite the equation as follows: x 2 + y 2 = 4 y x 2 + y 2 - 4 y = 0 It is the equation of a circle.
Problem 2Convert the polar equationto rectangular form. Solution to Problem 2
Expand the left side of the given equation.
Problem 3Convert the polar equationto rectangular form. Solution to Problem 3:
Rewrite the given equation as follows:
More References and Links to Polar Coordinates and TrigonometryPolar Coordinates. |