Generally a problem such as mine would be quite easy, but instead of given constants, I'm given two trigonometric functions:

From this I've gathered:

(Opposite side length)

(Adjacent side length)

(Hypotenuse side length)

However I have no clue as to how to go from here. Using the law of cosines would bring me no where I believe. Care to correct me? :P

If it isn't obvious enough already, I'm supposed to solve for .

Thanks everyone!