However, is there any way possible to solve this cind of question using simply lagrange multipliers and clever reducing? I've not been able to reduce this problem in a way that would make things easier. If someone could show me how to think or how to attack a reducing problem like this i'd be very greatful.
Also; Is Lagrange always the best viable option for solving problems like these? I really dont like using trigonometry in problems like these because I feel like i'd have an much easier time screwing up my calculations in the end. Also it would be nice to learn how to solve one problem in two ways.