Solve 60/sin(45)

$$\frac{ 60 }{ \sin ( 45 ) }$$

Evaluate

$$60\sqrt{2}\approx 84.852813742$$

Solution Steps

Get the value of \sin(45) from trigonometric values table.

$$\frac{60}{\frac{\sqrt{2}}{2}}$$

Divide 60 by \frac{\sqrt{2}}{2} by multiplying 60 by the reciprocal of \frac{\sqrt{2}}{2}.

$$\frac{60\times 2}{\sqrt{2}}$$

Rationalize the denominator of \frac{60\times 2}{\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.

$$\frac{60\times 2\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

The square of \sqrt{2} is 2.

$$\frac{60\times 2\sqrt{2}}{2}$$

Multiply 60 and 2 to get 120.

$$\frac{120\sqrt{2}}{2}$$

Divide 120\sqrt{2} by 2 to get 60\sqrt{2}.

$$60\sqrt{2}$$