Helper functions for conversion of spherical to rectangular coordinates and plotting

Spherical To Rectangular Coordinates.lua

--[[
	SPHERICAL TO RECTANGULAR COORDINATES

This algorithm takes sphereical coordinates, which are helpful for defining spray patterns at a defined radius relative to the shooter,
and converts them to cartesian coordinates that Roblox can easilly understand and plot.
(https://www.mathworks.com/help/symbolic/transform-spherical-coordinates-and-plot.html)

Illustrations:
https://gyazo.com/bc7e68c8874bd063f76a2e72263f1109
https://gyazo.com/2abe1234d04ed51eb1df045b36d59f0d

]]


-- USE THE RIGHT THUMB RULE!
-- Use your right thumb to point in the positive direction of an axis
-- The direction of your fingers is the direction of positive rotation.

local RHO =  5				-- Radius
local PHI = math.rad(30)		-- Pitch (Z-Axis Angle)
local THETA = math.rad(0)		-- Yaw (Y-Axis Angle)

function sphericalToRectangular(rho: number, phi: number, theta: number): Vector3 -- (Radius, Pitch, Yaw)
	local rectangularCoordinate = Vector3.new(
		rho * math.sin(phi) * math.cos(theta),
		-rho * math.cos(phi),
		-rho * math.sin(phi) * math.sin(theta)
	)
	return rectangularCoordinate
end

function plot(pos)
	local newBrick = Instance.new("Part")
	newBrick.Size = Vector3.new(0.1, 0.1, 0.1)
	newBrick.Anchored = true
	newBrick.BrickColor = BrickColor.Red()
	newBrick.Position = pos
	newBrick.Parent = game.Workspace
end

The conversions were redone for Roblox's weird -Z axes and stuff.