Question

The options for the first blank are 45, 240, 270, and 315

Answer 1

Answer:

The solutions are 270° and 450°.

Step-by-step explanation:

Given:

$cos\frac{x}{2} =\frac{\sqrt{2} }{2}$.

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

$cos\frac{x}{2}=135$

$=x=270$°.

And, $cos\frac{x}{2}=225$

$=x=450$°

Therefore, the solutions are 270° and 450°.