Question

3) Express the following complax number in polar
form. -1+√3i
​

Answer 1

$\bold {\mathfrak{Hello!}}$

$\bold{polar \: form \:( r \: cos\theta +r \: sin \theta)}$

$\bold{mod \: of \: cn}$

$\sqrt{ { ( - 1)}^{2} + { (\sqrt{3}) }^{2} }$

$\longrightarrow \: 2$

$\bold{amp \: of \: cn}$

$tan \theta = \frac{ - 1}{ \sqrt{3} }$

$\longrightarrow \: \theta = 30 \degree$

Hance,

polar form

$\boxed{ \mathtt{2(cos 30 \degree + i \: sin 30 \degree)}}$