How to get coordinates of a point in a coordinate system based on angle and distance

Question

How to get coordinates of a point in a coordinate system when all I have is the origin coordinates (x, y) and the angle from the origin to the point and the distance from the origin to the point?

Answer 1

You use Math.cos, Math.sin like this:

pointX = x + distance * Math.cos(angle)
pointY = y + distance * Math.sin(angle)

Note about radians / degrees

Math.cos and Math.sin assumes the argument is given in radians (0…2π). If you have the angle in degrees (0…360), you would use Math.cos(Math.toRadians(angle)) for instance.