# What is the polar form of ( -3,-34 )?

Oct 10, 2016

$\sqrt{1165} c i s \left(- 1.66\right)$

#### Explanation:

Short way: Use to Pol button on your calculator and enter the coordinates.

If $z$ is the complex number,
$| z | = \sqrt{{\left(- 3\right)}^{2} + {\left(- 34\right)}^{2}} = \sqrt{1165}$
$a r g \left(z\right) = \pi + {\tan}^{-} 1 \left(\frac{- 34}{-} 3\right) - 2 \pi = - 1.66 \to$point is in the third quadrant, subtracted $2 \pi$ to get the principal argument

$\therefore z = \sqrt{1165} c i s \left(- 1.66\right)$