Answer:
[tex] \boxed{ \begin{array}{ccc} \displaystyle \theta = {120}^{ \circ} \\ \displaystyle\sin( {120}^{ \circ} ) = \frac{ \sqrt{3} }{2} \end{array}}[/tex]
Step-by-step explanation:
we are given a inverse trig
we want to figure out the value of [tex]\theta[/tex]
in that case we can consider using unit circle in unit circle the value of arctan (-√3)=120°
therefore,
the value of theta is 120°
likewise by unit circle the value of sine is
[tex] \displaystyle \sin( {120}^{ \circ} ) = \frac{ \sqrt{3} }{2} [/tex]