So,
Given:
[tex]\sin (A)=0.2588[/tex]
We want to find the value of A.
For this, we could apply the sine inverse function:
[tex]A=\sin ^{-1}(0.2588)[/tex]
Which is, rounded to one decimal place:
[tex]\sin ^{-1}(0.2588)=15.0[/tex]
So, the result is 15.0 degrees.
The process is the same with b:
[tex]\begin{gathered} \cos (A)=0.6794 \\ A=\cos ^{-1}(0.6794) \\ A=47.2 \end{gathered}[/tex]
Thus, A=47.2 degrees
