Polar coordinates are a way of representing points in a plane using a distance (r) from the origin and an angle (θ) from a reference line. This is different from Cartesian coordinates, which use x and y coordinates.
To convert from polar coordinates to Cartesian coordinates, you can use the following formulas:
x = r * cos(θ)
y = r * sin(θ)
where r is the distance from the origin and θ is the angle from the reference line.
To graph polar coordinates, you can plot the point on a polar coordinate plane using the distance from the origin as the radius and the angle from the reference line as the angle of rotation. You can also use the conversion formulas to convert the polar coordinates to Cartesian coordinates and graph them on a Cartesian coordinate plane.
Polar coordinates are useful for representing points in a plane that have a radial component, such as in polar graphs or in situations involving circular motion. They are also used in many mathematical and scientific applications, such as in complex numbers and vector analysis.
To perform basic operations with polar coordinates, you can use the distance and angle measurements to add, subtract, multiply, or divide points. You can also use the conversion formulas to convert between polar and Cartesian coordinates and perform operations using Cartesian coordinates.