Express the complex number in trigonometric form 2 2i Expre

Express the complex number in trigonometric form -2 + 2i Express your answer in radians. 2(cos 3 pi/4 + i sin 3 pi/4) 2 squareroot 2(cos 5 pi/4 + i sin 5 pi/4) 2 squareroot (cos 3 pi/4 + i sin 3 pi/4) 2(cos 5 pi/4 + i sin 5 pi/4) Convert to a polar equation.

Solution

-2+2i

|-2+2i|=[(-2)²+2²]=22

=tan^-1(2/(-2))

= -tan^-1(1)

= -(/4) =3/4

= 22[cos(3/4) +i sin(3/4)]