)knv said:
knv said:
knv said:
A Cartesian equation is an equation that relates the coordinates of a point on a plane to its distance from the origin. It is written in the form of x and y coordinates, such as y = mx + b.
The first step in solving a Cartesian equation is to identify the variables. Then, use algebraic methods such as substitution, elimination, or graphing to solve for the unknown variable.
The equation r = 9 cosθ represents a polar equation, where r is the distance from the origin and θ is the angle in radians. This equation is a circle with a radius of 9 units, centered at the origin.
To graph r = 9 cosθ, plot points by substituting different values for θ and calculating the corresponding value for r. Then, connect the points to create a circle with a radius of 9 units centered at the origin.
Polar and Cartesian equations are two different ways of expressing the same relationship between coordinates on a plane. While polar equations use r and θ to represent distance and angle, Cartesian equations use x and y coordinates to represent points on a plane.