Question

Find the modulus and argument
of the Complex number

z=√3+i ,also
write polar form​

Answer 1

$z = \sqrt{3} + i \\ |z| = \sqrt{( { \sqrt{3} })^{2} + {1}^{2} } \\ = 2 \\ since \: the \: point \: lie \: \\ in \: the \: first \: quadrent \\ \\ arg( \theta) = {tan}^{ - 1} \frac{1}{ \sqrt{3} } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{\pi}{6} \\ \\ polar \: form \: is... \\ 2(cos \frac{\pi}{6} + isin \frac{\pi}{6} )$