Answer:
Step-by-step explanation:
answer: 3[tex]\sqrt{2}[/tex] cis [tex]\frac{7\pi }{4}[/tex]
explination:
z = 3 -3i
r = [tex]\sqrt{3^{2} + 3^{2} }[/tex]
r = 3[tex]\sqrt{2}[/tex]
θ = [tex]2\pi + tan^{-1} ( -\frac{3}{3} )[/tex]
θ = [tex]2\pi + tan^{-1} ( -1 )[/tex]
θ = [tex]2\pi - \frac{\pi }{4}[/tex]
θ = [tex]\frac{7\pi }{4}[/tex]
= 3[tex]\sqrt{2}[/tex] cis [tex]\frac{7\pi }{4}[/tex]
