Converting Polar To Cartesian Equation

Converting Polar To Cartesian Equation FAQ

How do you convert rectangular coordinates to polar coordinates?

To convert from polar to rectangular coordinates, use the trigonometric ratios and where r is the hypotenuse of the right triangle. The rectangular form of the polar coordinate (r, θ) is (rcos θ, rsin θ). To convert from rectangular to polar coordinates, use the Pythagorean Theorem and the trigonometric ratio.

How do you find the polar coordinates?

Locate the angle on the polar coordinate plane. Refer to the figure to find the angle: Determine where the radius intersects the angle. Because the radius is 2 (r = 2), you start at the pole and move out 2 spots in the direction of the angle. Plot the given point.

How do you convert from polar to rectangular?

To convert from polar to rectangular, find the real component by multiplying the polar magnitude by the cosine of the angle, and the imaginary component by multiplying the polar magnitude by the sine of the angle.

How do you graph a polar graph?

The graph of a polar equation is the set of all points in the plane whose polar coordinates (at least one representation) satisfy the equation. The graph of the polar equation r = 1 consists of those points in the plane whose distance from the pole is 1. That is the circle of radius 1 centered at the pole.