Solve tan(60^circ)*cos(30^circ)/sin(30^circ)

$$\tan ( 60 ^ { \circ } ) \times \frac{ \cos ( 30 ^ { \circ } ) }{ \sin ( 30 ^ { \circ } ) }$$

Evaluate

$$3$$

Solution Steps

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

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

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

$$\sqrt{3}\times \frac{\frac{\sqrt{3}}{2}}{\sin(30)}$$

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

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

Divide \frac{\sqrt{3}}{2} by \frac{1}{2} by multiplying \frac{\sqrt{3}}{2} by the reciprocal of \frac{1}{2}.

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

Cancel out 2 and 2.

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

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

$$3$$