Solve (cos(pi/6))^2

$$( \cos ( \frac { \pi } { 6 } ) ) ^ { 2 }$$

Evaluate

$$\frac{3}{4}=0.75$$

Solution Steps

Get the value of \cos(\frac{\pi }{6}) from trigonometric values table.

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

To raise \frac{\sqrt{3}}{2} to a power, raise both numerator and denominator to the power and then divide.

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

The square of \sqrt{3} is 3.

$$\frac{3}{2^{2}}$$

Calculate 2 to the power of 2 and get 4.

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

Factor

$$\frac{3}{2 ^ {2}} = 0.75$$