Solve tan(30^circ)frac{sqrt{3}}{3}

$$\tan ( 30 ^ { \circ } ) \frac{ \sqrt{ 3 } }{ 3 }$$

Evaluate

$$\frac{1}{3}\approx 0.333333333$$

Solution Steps

Get the value of \tan(30) from trigonometric values table.

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

Multiply \frac{\sqrt{3}}{3} and \frac{\sqrt{3}}{3} to get \left(\frac{\sqrt{3}}{3}\right)^{2}.

$$\left(\frac{\sqrt{3}}{3}\right)^{2}$$

To raise \frac{\sqrt{3}}{3} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{\left(\sqrt{3}\right)^{2}}{3^{2}}$$

The square of \sqrt{3} is 3.

$$\frac{3}{3^{2}}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{3}{9}$$

Reduce the fraction \frac{3}{9} to lowest terms by extracting and canceling out 3.

$$\frac{1}{3}$$