Solve cos30^circ/tan30^circ

$$\frac { \cos 30 ^ { \circ } } { \tan 30 ^ { \circ } }$$

Evaluate

$$\frac{3}{2}=1.5$$

Solution Steps

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

$$\frac{\frac{\sqrt{3}}{2}}{\tan(30)}$$

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

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

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

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

Cancel out \sqrt{3} in both numerator and denominator.

$$\frac{3}{2}$$