Solve sqrt{1-cos(60^circ)/2}

$$\sqrt{ \frac{ 1- \cos ( 60 ^ { \circ } ) }{ 2 } }$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

Get the value of \cos(60) from trigonometric values table.

$$\sqrt{\frac{1-\frac{1}{2}}{2}}$$

Subtract \frac{1}{2} from 1 to get \frac{1}{2}.

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

Express \frac{\frac{1}{2}}{2} as a single fraction.

$$\sqrt{\frac{1}{2\times 2}}$$

Multiply 2 and 2 to get 4.

$$\sqrt{\frac{1}{4}}$$

Rewrite the square root of the division \frac{1}{4} as the division of square roots \frac{\sqrt{1}}{\sqrt{4}}. Take the square root of both numerator and denominator.

$$\frac{1}{2}$$