Solve 10/sin(60)/2

$$\frac{ \frac{ 10 }{ \sin ( 60 ) } }{ 2 }$$

Evaluate

$$\frac{10\sqrt{3}}{3}\approx 5.773502692$$

Solution Steps

Express \frac{\frac{10}{\sin(60)}}{2} as a single fraction.

$$\frac{10}{\sin(60)\times 2}$$

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

$$\frac{10}{\frac{\sqrt{3}}{2}\times 2}$$

Cancel out 2 and 2.

$$\frac{10}{\sqrt{3}}$$

Rationalize the denominator of \frac{10}{\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$\frac{10\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

The square of \sqrt{3} is 3.

$$\frac{10\sqrt{3}}{3}$$