Solve 2/sin60^circ

$$\frac { 2 } { \sin 60 ^ { \circ } }$$

Evaluate

$$\frac{4\sqrt{3}}{3}\approx 2.309401077$$

Solution Steps

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

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

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

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

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

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

The square of \sqrt{3} is 3.

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

Multiply 2 and 2 to get 4.

$$\frac{4\sqrt{3}}{3}$$