Solve sin30/cos30

$$\frac { \sin 30 } { \cos 30 }$$

Evaluate

$$\frac{\sqrt{3}}{3}\approx 0.577350269$$

Solution Steps

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

$$\frac{\frac{1}{2}}{\cos(30)}$$

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

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

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

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

Rationalize the denominator of \frac{2}{2\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$\frac{2\sqrt{3}}{2\left(\sqrt{3}\right)^{2}}$$

The square of \sqrt{3} is 3.

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

Cancel out 2 in both numerator and denominator.

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