Question

express z=-4+4i in polar form please?

Answer 1

\[r=\sqrt{(-4)^2+(4)^2}=4\sqrt{2}\]

Answer 2

\[\theta=\tan^\left(-1\right)\left(\frac{4}{-4}\right)=-45~degrees\]

Answer 3

Ty @Orian1213 , but i need the trigonometric form ..like this : z1=r(cos t + i sin t) ....

Answer 4

\[z_1=4\sqrt{2}\left(\cos(-45)+i\sin(-45)\right)\]

Answer 5

we can reduce this further to \[z_1=4\sqrt{2}(\cos(45)-i\sin(45))\]or simply \[z_1=4\sqrt{2}~cis~(-45)~in~short~form...\]