I need help understanding a specific part of CFrames!

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#21

Would that also mean that in terms of rotation, a local rotation and a global rotation would exist?

#22

ALRIGHT, I SOLVED THE PROBLEM!

So it turns out, I was doing EVERYTHING wrong for the rotation!
What I was using was math.asin(), as it seemed to work for the y axis, what I NEEDED however…

Was math.atan2(), as I needed to use both the X, and Z axis’s. And even though I didn’t understand what math.atan2() does, it makes it work perfectly now.
For reference, and to prevent everyone else from suffering, here’s the important part of the code:

runService.RenderStepped:Connect(function()
	local reference = CFrame.new(0,0,0,1,0,0,0,1,0,0,0,1)
	if running == true then
		local look = CFrame.new(Vector3.new(char.HumanoidRootPart.Position.X,char.HumanoidRootPart.Position.Y,char.HumanoidRootPart.Position.Z) + char.HumanoidRootPart.CFrame:VectorToWorldSpace(Vector3.new(0,0,0)), char.RightHand.Position + char.HumanoidRootPart.CFrame:VectorToWorldSpace(Vector3.new(0,1,0)) )
		local dist = (Vector3.new(0,char.HumanoidRootPart.Position.y - 1,0) - Vector3.new(0,char.RightHand.Position.y,0)).Magnitude
		local tangant = math.atan2(look.LookVector.X,look.LookVector.Z) * 1
		local tangant2 = math.atan2(char.HumanoidRootPart.CFrame.RightVector.X,char.HumanoidRootPart.CFrame.RightVector.Z) * 1
		local theta = tangant - tangant2
		motor6d.C1 = CFrame.new(0,0,dist) * CFrame.fromEulerAnglesXYZ(math.asin(-look.LookVector.Y) * 0.2,0,theta)
	end
end)

I also took reference to this: How do i make the player's head move with the camera

#23

Although, I probably would also like to ask what the hell math.atan2() does, as I found the initial explanation a bit confusing…

#24

atan(y / x) = theta
-y/-x = y/x
-y/x = y/-x
atan2(y, x) handles this by taking y and x separately

#25

Ah, I see.
I’ll try my best to keep this in mind in the future, thank you!