Since you already got all the sides, all you need to do is plug in the numbers.
Sin = opposite/hypotenuse
Cos = adjacent/hypotenuse
Tan = opposite/adjacent
In other words "SOHCAHTOA."
Cot = inverse of Tan = opposite/adjacent
Sec = inverse of Cos = hypotenuse/adjacent
Csc = inverse of Sin = hypotenuse/opposite
Using this information, sin fishy (alpha?) would be 3/radical 34. In turn, cos B thingy would also be 3/radical 34.
Sorry, I forget the names of the thingies. Haha. I hope this helps.
Edit: For your question thingy about the Theorem, are you sure the read the problem correctly? According to the answer, 41 should be the hypotenuse.