Question

Evaluate: $\sqrt{\frac{1+{\cos 60}^o}{2}}=$

• A. $\frac{\sqrt{3}}{2}$
• B. $1$
• C. $\frac{1}{2}$
• D. $\frac{1}{4}$

Answer 1

The correct option is A $\frac{\sqrt{3}}{2}$

Given that; $\sqrt{\frac{1+\cos {60}^o}{2}}$

$=\sqrt{\frac{1+\frac{1}{2}}{2}}$

$=\sqrt{\frac{\frac{3}{2}}{2}}$

$=\sqrt{\frac{3}{4}}=\frac{\sqrt{3}}{2}$