Here's the triangle:
a=8
b=3
c=8
I did the law of cosines for C and got 0.1875. I did the arccos of that, and got 79.19°.
I then did the law of sines for A, and got 2.62444. I did the arcsin of that, and got undefined on my TI-89. I put arcsin(2.62444) in WolframAlpha and got -45.88°.
So... Am I doing something wrong?