Solve cos(30)frac{sqrt{3}}{2}

$$\cos ( 30 ) \frac{ \sqrt{ 3 } }{ 2 }$$

Evaluate

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

Solution Steps

Get the value of \cos(30) from trigonometric values table.

$$\frac{\sqrt{3}}{2}\times \frac{\sqrt{3}}{2}$$

Multiply \frac{\sqrt{3}}{2} and \frac{\sqrt{3}}{2} to get \left(\frac{\sqrt{3}}{2}\right)^{2}.

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

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.

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