Solve 2divtan(30)

$$2 \div \tan ( 30 )$$

Evaluate

$$2\sqrt{3}\approx 3.464101615$$

Solution Steps

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

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

Divide 2 by \frac{\sqrt{3}}{3} by multiplying 2 by the reciprocal of \frac{\sqrt{3}}{3}.

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

Rationalize the denominator of \frac{2\times 3}{\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

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

The square of \sqrt{3} is 3.

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

Multiply 2 and 3 to get 6.

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

Divide 6\sqrt{3} by 3 to get 2\sqrt{3}.

$$2\sqrt{3}$$