Graph the polar equation

What is a polar equation?

Polar Equations A polar equation is any equation that describes a relation between r r r and θ theta θ, where r r r represents the distance from the pole (origin) to a point on a curve, and θ theta θ represents the counterclockwise angle made by a point on a curve, the pole, and the positive x x x-axis.

How do you graph polar equations on Desmos?

Team Desmos To change the graph paper to a polar grid, start by clicking on the wrench in the upper right hand corner of the graph paper to open the Graph Settings menu. To graph in polar form, write your equation using r and theta notation: Polar graphs are automatically set to a domain of [0,12pi].

What is polar coordinates in math?

Instead of using the signed distances along the two coordinate axes, polar coordinates specifies the location of a point P in the plane by its distance r from the origin and the angle θ made between the line segment from the origin to P and the positive x-axis.

How do polar coordinates work?

The polar coordinates of a point describe its position in terms of a distance from a fixed point (the origin) and an angle measured from a fixed direction which, interestingly, is not “north” (or up on a page) but “east” (to the right). That is in the direction Ox on Cartesian axes.

What is polar and Cartesian coordinates?

Polar Coordinates. Main Concept. The Cartesian coordinate system is a two-dimensional coordinate system using a rectilinear grid: • The x and y coordinates of a point measure the respective distances from the point to a pair of perpendicular lines in the plane called the coordinate axes, which meet at the origin.

What is a polar angle?

In the plane, the polar angle is the counterclockwise angle from the x-axis at which a point in the. -plane lies. In spherical coordinates, the polar angle is the angle measured from the -axis, denoted. in this work, and also variously known as the zenith angle and colatitude.

How do you convert to polar coordinates?

Summary: to convert from Cartesian Coordinates (x,y) to Polar Coordinates (r,θ):r = √ ( x2 + y2 )θ = tan1 ( y / x )

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What does negative R mean in polar coordinates?

When the radius is negative: When graphing a polar coordinate with a negative radius, you move from the pole in the direction opposite the given positive angle (on the same line as the given angle but in the direction opposite to the angle from the pole).

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