What value of x satisfiescost (90 degrees -x)=-root 3 /3A. 120°B. 240°C. 210°D. 150°

Answer:See explanationStep-by-step explanation:The given trigonometric equation is [tex]cos(90-x)=-\frac{\sqrt{3} }{3}[/tex].We take the inverse cosine of both sides to get:[tex]90-x=cos^{-1}(-\frac{\sqrt{3} }{3})[/tex][tex]90-x=125[/tex] [tex]x=125-90[/tex] [tex]x=-35\degree=325\degree[/tex] to the nearest degreeNone of the options satisfies the given equation.But if the question is actually;[tex]cos(90-x)=-\frac{\sqrt{3} }{2}[/tex]Then;[tex]90-x=\cos^{-1}(-\frac{\sqrt{3} }{2})[/tex].[tex]90-x=210[/tex].[tex]90-x=210[/tex].[tex]x=-120\degree[/tex].Or[tex]x=360-120=240\degree[/tex].In this case the answer will be B