Solve cos^245

$$\cos ^ { 2 } 45$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

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

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

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

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

The square of \sqrt{2} is 2.

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

Calculate 2 to the power of 2 and get 4.

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

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

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