Respuesta :

Answer:

The solutions are 270° and 450°.

Step-by-step explanation:

Given:

[tex]cos\frac{x}{2} =\frac{\sqrt{2} }{2}[/tex].

So, the second and third quadrant angle to be calculated.

[tex]cos\frac{x}{2}=135[/tex]

[tex]=x=270[/tex]°.

And, [tex]cos\frac{x}{2}=225[/tex]

[tex]=x=450[/tex]°

Therefore, the solutions are 270° and 450°.

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