Solve 6tan30^circcos30^circ

$$6 \tan 30 ^ { \circ } \cos 30 ^ { \circ }$$

Evaluate

$$3$$

Solution Steps

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

$$6\times \frac{\sqrt{3}}{3}\cos(30)$$

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

$$6\times \frac{\sqrt{3}}{3}\times \frac{\sqrt{3}}{2}$$

Cancel out 3, the greatest common factor in 6 and 3.

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

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

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

Cancel out 2 and 2.

$$\sqrt{3}\sqrt{3}$$

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

$$3$$