Solve 2cos30^circ+tan30^circ-2tan45^circ

$$2 \cos 30 ^ { \circ } + \tan 30 ^ { \circ } - 2 \tan 45 ^ { \circ }$$

Evaluate

$$\frac{4\sqrt{3}}{3}-2\approx 0.309401077$$

Solution Steps

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

$$2\times \frac{\sqrt{3}}{2}+\tan(30)-2\tan(45)$$

Cancel out 2 and 2.

$$\sqrt{3}+\tan(30)-2\tan(45)$$

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

$$\sqrt{3}+\frac{\sqrt{3}}{3}-2\tan(45)$$

Combine \sqrt{3} and \frac{\sqrt{3}}{3} to get \frac{4}{3}\sqrt{3}.

$$\frac{4}{3}\sqrt{3}-2\tan(45)$$

Get the value of \tan(45) from trigonometric values table.

$$\frac{4}{3}\sqrt{3}-2\times 1$$

Multiply 2 and 1 to get 2.

$$\frac{4}{3}\sqrt{3}-2$$