Solve frac{sqrt{3}sin(60)}{3}

$$\frac{ \sqrt{ 3 } \sin ( 60 ) }{ 3 }$$

Evaluate

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

Solution Steps

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

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

Express \sqrt{3}\times \frac{\sqrt{3}}{2} as a single fraction.

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

Express \frac{\frac{\sqrt{3}\sqrt{3}}{2}}{3} as a single fraction.

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

Multiply \sqrt{3} and \sqrt{3} to get 3.

$$\frac{3}{2\times 3}$$

Multiply 2 and 3 to get 6.

$$\frac{3}{6}$$

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

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