How to find the coordinates of points in polar coordinates?

1. The two coordinates r and θ in the polar coordinate system can be converted into the coordinate values x = r*cos(θ) and y = r*sin(θ) in the rectangular coordinate system by the following formula. 2. From the above two formulas, we can get how to calculate the coordinates in polar coordinates from the two coordinates of X and Y in rectangular coordinate system, where R = sqrt (X 2+Y 2) and θ = Arctany/X..3 In the case of x = 0, if Y is a positive number θ = 90 (π/2 radians); If y is negative, θ = 270 (3 π/2 radians).

Extended data:

First, polar coordinates.

Take a fixed point o on the plane, which is called the pole, draw a ray Ox, which is called the polar axis, and then choose a length unit and the positive direction of the angle (usually counterclockwise). For any point m on the plane, ρ represents the length of the line segment om, θ represents the angle from Ox to OM, ρ is the polar diameter of the point M, θ is the polar angle of the point M, and the ordered number pairs (ρ, θ) are the polar coordinates of the point M. The coordinate system thus established is called polar coordinate system.

Second, the definition of rectangular coordinates.

Draw two rectangular coordinates on a plane, which are perpendicular to each other and have a common origin. Where the horizontal axis is the X axis and the vertical axis is the Y axis. In this way, we say that the plane rectangular coordinate system is established on the plane, which is called rectangular coordinate system for short.