Solve 3tan30^circ-tan45^circ+2sin60^circ

$$3 \tan 30 ^ { \circ } - \tan 45 ^ { \circ } + 2 \sin 60 ^ { \circ }$$

Evaluate

$$2\sqrt{3}-1\approx 2.464101615$$

Solution Steps

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

$$3\times \frac{\sqrt{3}}{3}-\tan(45)+2\sin(60)$$

Cancel out 3 and 3.

$$\sqrt{3}-\tan(45)+2\sin(60)$$

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

$$\sqrt{3}-1+2\sin(60)$$

Get the value of \sin(60) from trigonometric values table.

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

Cancel out 2 and 2.

$$\sqrt{3}-1+\sqrt{3}$$

Combine \sqrt{3} and \sqrt{3} to get 2\sqrt{3}.

$$2\sqrt{3}-1$$