Answer: [tex]\frac{8}{\sqrt{145}}[/tex]
We have the following expression:
[tex]sin(arcos(-\frac{9}{\sqrt{145}}))[/tex]
First we have to solve the inner parenthesis:
[tex]sin(arcos(-0.747))[/tex]
Then the second parenthesis:
[tex]sin(138.366)=0.664[/tex]
According to the options given, the only expression that fulfills the value of [tex]0.664[/tex] is:
[tex]\frac{8}{\sqrt{145}}=0.664[/tex]
