Is there a way tangent could be implemented? I've tried sin/cos, but I always get something really small, usually 0, 1, or 2 (I think). I'm making a shooter that has angled bullets for shiggles because I have nothing to do in my pre-calc class now that it's AP season (my tests are towards the end), and right now I just use a sort of slope method, but I figured it might possibly be easier/better in some way to use an angle. Then again, I've been wrong before ^^

X_speed = cos(θ) * speed
Y_speed = sin(θ) * speed

That should get the job done right?

Instead of using slope and a flag, would it not be easier to use just an angle instead?  That way you can specify the full range of directions in equal precision, and it would take up less data and use already implemented Axe commands.  Your slope would range from 0 to 256, where 0 is directly to the right, 64 is directly down, 128 is directly to the left, and 192 is directly up.  To extract the directions from the angle, simply use Cos(angle) for the X direction and Sin(angle) for the Y direction

Well using an angle method still works well, and if this is for some sort of shooter game, that means you can re-use some code for any bullets that are being fired back at you

Derive what?

Yeah I would pretty much like a tan( function.

Why *256? tan(angle) is defined as y/x, and with sin(angle) and cos(angle) being y/r and x/r respectively, tan(angle) can also be defined as sin(angle)/cos(angle), so i dont see why you would multiply sin(angle) by 256 first.

But multiplying by 256 just changes it from something like $00A6 to $A600. It doesnt increase precision, but just changes the value. sin($A600) is completely different than sin($00A6).