Simplest way to convert polar coordinates to Cartesian points

Question

I need to convert polar coordinates from decimal degrees to Cartesian points. I know there are many formulas but I need a formula that uses only sine and cosine (no arcsine, arccosine), and that does not involve too many calculations.

The coordinates are all within a radius of 150km so it does not matter that it is not precise with coordinates far from each other.

Thanks!

Answer 1

If you have 2D polar coordinates with angle theta and radius r, then:

x = r * cos(theta)
y = r * sin(theta)