Difficult trigonometry problem

[cookiesrule8]

Please help me out. I need to solve this problem using inverses and I have no idea where to start.

 

[Ishuda]

You are given \(\displaystyle \alpha\) and k and need to find \(\displaystyle \beta\). Rearrange the equation you are given
sin(\(\displaystyle \alpha\)) = k sin(\(\displaystyle \beta\))
to find \(\displaystyle sin(\beta)\) and then take the arcsin.