Trigonometry Examples

${(\cos (30) + i \sin (30))}^{18}$

Step 1

The exact value of $\cos (30)$ is $\frac{\sqrt{3}}{2}$ .

${(\frac{\sqrt{3}}{2} + i \sin (30))}^{18}$

Step 2

The exact value of $\sin (30)$ is $\frac{1}{2}$ .

${(\frac{\sqrt{3}}{2} + i \frac{1}{2})}^{18}$

Step 3

Combine $i$ and $\frac{1}{2}$ .

${(\frac{\sqrt{3}}{2} + \frac{i}{2})}^{18}$