Solve 2cos^230^circ

$$2 \cos ^ { 2 } 30 ^ { \circ }$$

Evaluate

$$\frac{3}{2}=1.5$$

Solution Steps

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

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

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

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

Express 2\times \frac{\left(\sqrt{3}\right)^{2}}{2^{2}} as a single fraction.

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

Cancel out 2 in both numerator and denominator.

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

The square of \sqrt{3} is 3.

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