# How do you write the trigonometric form into a complex number in standard form 10(cos((2pi)/5)+isin((2pi)/5))?

Oct 22, 2017

$\left(3.090169938 + 9.510565165 i\right)$

#### Explanation:

$10 \left(\cos \left(\frac{2 \pi}{5}\right) + i \sin \left(\frac{2 \pi}{5}\right)\right)$

$10 \cos \left(\frac{2 \pi}{5}\right) = 3.090169938$

$10 \left(i \sin \left(\frac{2 \pi}{5}\right)\right) = 9.510565165 i$

$\left(3.090169938 + 9.510565165 i\right)$