Solve a/tan30^circ

$$\frac { a } { \tan 30 ^ { \circ } }$$

Evaluate

$$\sqrt{3}a$$

Solution Steps

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

$$\frac{a}{\frac{\sqrt{3}}{3}}$$

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

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

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

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

The square of \sqrt{3} is 3.

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

Cancel out 3 and 3.

$$a\sqrt{3}$$