Solve cos(30)cos(30)

$$\cos ( 30 ) \cos ( 30 )$$

Evaluate

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

Solution Steps

Multiply \cos(30) and \cos(30) to get \left(\cos(30)\right)^{2}.

$$\left(\cos(30)\right)^{2}$$

Get the value of \cos(30) 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.

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