KF Math Thread - Discuss Math

[y a t s]

I don't deny that these equation produce correct results, but I'm curious why they work.

In situations like this, I find the best strategy is to derive it yourself.

We can do so using basic facts about spherical coordinates (with r = 1) and a simple rotation matrix:

then, since β = 0 in this particular case, we can simplify heavily:


and your other questions can be answered by the above.