The given question is
[tex]sin(s)=0.82584121,s\rightarrow[0,\frac{7}{2}][/tex]We will use the inverse of sine to find s
[tex]\begin{gathered} s=sin^{-1}(0.82584121) \\ s=0.9716923389 \end{gathered}[/tex]Since sine has positive values in the 1st and 2nd quadrant, then we will have 2 values of s. One in the 1st quadrant and the other in the 2nd quadrant
[tex]\begin{gathered} s=0.9716923389\text{ radian} \\ s=\pi-0.9716923389=2.169900315\text{ radian} \end{gathered}[/tex]The answers are:
s = 0.9716923389
s = 2.169900315
