Respuesta :

Answer:

See explanation

Step-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 degree

None 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

Answer:

the correct answer is 150

Step-by-step explanation:

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