# How do you write the trigonometric form in complex form 8(cos((pi)/6)+isin((pi)/6)))?

Nov 28, 2016

The answer is $= \frac{\sqrt{3}}{4} + \frac{i}{4}$

#### Explanation:

We calculate

$\cos \left(\frac{\pi}{6}\right) = \frac{\sqrt{3}}{2}$

$\sin \left(\frac{\pi}{6}\right) = \frac{1}{2}$

Therefore,

z=8(cos(pi/6)+i(sin(pi/6))

$= 8 \left(\frac{\sqrt{3}}{2} + i \cdot \frac{1}{2}\right)$

$= \frac{\sqrt{3}}{4} + \frac{i}{4}$