Solve {l}{tan60^circ+2sin45^circ}{-2cos30^circ}

$$\left. \begin{array} { l } { \tan 60 ^ { \circ } + 2 \sin 45 ^ { \circ } } \\ { - 2 \cos 30 ^ { \circ } } \end{array} \right.$$

Evaluate

$$\sqrt{2}\approx 1.414213562$$

Solution Steps

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

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

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

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

Cancel out 2 and 2.

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

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

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

Cancel out 2 and 2.

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

Combine \sqrt{3} and -\sqrt{3} to get 0.

$$\sqrt{2}$$