Question

I NEED HELP ASAP PLEASE! :)

Answer 1

Answer:

option 1

Step-by-step explanation:

$r=\sqrt{(5\sqrt{2})^{2}+(-5\sqrt{2})^{2} } \\\\=\sqrt{25*2+25*2}\\\\ =\sqrt{50+50}\\\\=\sqrt{100}\\\\=10$

$x=tan^{-1}(\frac{-5\sqrt{2}}{5\sqrt{2}})\\\\x=tan^{-1} (-1)\\x=\frac{7\pi}{4}$

$re^{ix}=10e^{i\frac{7\pi}{4}}$