How to get 3D coordinates (XYZ) of the sun given Azimuth and altitude?

Question

i'm creating a simple program that will simulate sunlight at a given time in the day. I am able to get the data { azimuth: -2.100262873246889, altitude: -0.01481415957435166 } but not sure how to get the 3D coordinates out of it.

Here is my code:

import SunCalc from "suncalc";

const LAT = 68.148357;
const LNG = 9.996031;
const dateandtime = "2019-07-01T17:01:29.467Z";

var times = SunCalc.getTimes(new Date(dateandtime), LAT, LNG);
var sunrisePos = SunCalc.getPosition(times.sunrise, LAT, LNG);

Answer 1

x = R * cos(?) * sin(?)
y = R * cos(?) * cos(?)
z = R * sin(?)

Where R is the distance of the point from the origin, ? (the azimuth), and ? (the elevation).