Question

ofer 50 de puncte.cum calculez arg(z) si Arg(z) daca imi da nr complex cos pi/6-isin pi /6.va rog este o urgenta.

Answer 1

$z=cos\dfrac{\pi}{6}-isin\dfrac{\pi}{6}=cos(\dfrac{-\pi}{6})+isin(\dfrac{-\pi}{6})=$

$=cos(2\pi-\dfrac{\pi}{6})+isin(2\pi-\dfrac{\pi}{6})=cos(\dfrac{11\pi}{6})+isin(\dfrac{11\pi}{6})$

Deci: $arg \ z=\dfrac{11\pi}{6}\in[0;2\pi);\ Arg z=\{2k\pi+\dfrac{11\pi}{6}|\ k\in Z\}$