This is just a random thought that came to mind upon trying to find a solution to another problem.
You are given the angle of the hypotenuse in a right angle triangle, from the origin. You then want to scale this triangle along each axis, multiplicative. Each side can be scaled by a different value.
Now this is easy enough to solve by using the first angle to calculate the side lengths of the triangle, scaling them, and calculating the second angle. However I want to avoid this intermediary step.
Is there a concise way to turn the first angle directly in to the second angle, only using a provided scaling ratio, not calculating side lengths first?