# How do you write the complex number in standard form 2(cos150+isin150)?

Oct 28, 2016

$2 \left(\cos {150}^{o} + i \sin {150}^{o}\right) = - \sqrt{3} + i$

#### Explanation:

$2 \left(\cos {150}^{o} + i \sin {150}^{o}\right)$

= $2 \left(- \cos {30}^{o} + i \sin {30}^{o}\right)$

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

= $- \sqrt{3} + i$