Solve 4sin60^circ+tan45^circ+2cos30^circ

$$4 \sin 60 ^ { \circ } + \tan 45 ^ { \circ } + 2 \cos 30 ^ { \circ }$$

Evaluate

$$3\sqrt{3}+1\approx 6.196152423$$

Solution Steps

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

$$4\times \frac{\sqrt{3}}{2}+\tan(45)+2\cos(30)$$

Cancel out 2, the greatest common factor in 4 and 2.

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

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

$$2\sqrt{3}+1+2\cos(30)$$

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

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

Cancel out 2 and 2.

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

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

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