Solve tan30^circ/cos30^circ

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

Evaluate

$$\frac{2}{3}\approx 0.666666667$$

Solution Steps

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

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

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

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

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

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

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

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