Solve tan60^circ/sin60^circ

$$\frac { \tan 60 ^ { \circ } } { \sin 60 ^ { \circ } }$$

Evaluate

$$2$$

Solution Steps

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

$$\frac{\sqrt{3}}{\sin(60)}$$

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

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

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

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

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

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

The square of \sqrt{3} is 3.

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

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

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

Multiply 3 and 2 to get 6.

$$\frac{6}{3}$$

Divide 6 by 3 to get 2.

$$2$$