Solve sin^245^circ/m

$$\frac { \sin ^ { 2 } 45 ^ { \circ } } { m }$$

Evaluate

$$\frac{1}{2m}$$

Solution Steps

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

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

To raise \frac{\sqrt{2}}{2} to a power, raise both numerator and denominator to the power and then divide.

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

Express \frac{\frac{\left(\sqrt{2}\right)^{2}}{2^{2}}}{m} as a single fraction.

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

The square of \sqrt{2} is 2.

$$\frac{2}{2^{2}m}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{2}{4m}$$