Question

BRAINLIESTTT. ASAP! PLEASE HELP ME :)

Answer 1

Answer: Choice A

$\frac{\sqrt{6}+\sqrt{2}}{4}$

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Work Shown:

$\cos(30) = \frac{\sqrt{3}}{2}$

$\cos(\frac{x}{2}) = \sqrt{\frac{1+\cos(x)}{2}$

$\cos(\frac{30}{2}) = \sqrt{\frac{1+\cos(30)}{2}$

$\cos(15) = \sqrt{\frac{1+\frac{\sqrt{3}}{2}}{2}$

$\cos(15) = \sqrt{\frac{\frac{2}{2}+\frac{\sqrt{3}}{2}}{2}$

$\cos(15) = \sqrt{\frac{\frac{2+\sqrt{3}}{2}}{2}$

$\cos(15) = \sqrt{\frac{2+\sqrt{3}}{4}}$

$\cos(15) = \frac{\sqrt{2+\sqrt{3}}}{\sqrt{4}}$

$\cos(15) = \frac{\sqrt{2+\sqrt{3}}}{2}$

$\cos(15) = \frac{0.5\sqrt{6}+0.5\sqrt{2}}{2}$  

$\cos(15) = \frac{\sqrt{6}+\sqrt{2}}{4}$