Trigonometry Homework Help

Question

Find a polar form, z = _re^iθ of the complex number z=⁺_- sqrt 623i.

The "+" and "-" preceding the square root are aligned vertically with each other it was the best i could do.

Answer 1

r=sqrt(623)

(0,sqrt(623)) is found on the y-axis, 90 degree CCW from the x-axis rotation

theta=pi/2 or

Z=sqrt(623)e^(i*pi/2) = 24.959i

or

90 degree CW from the x-axis rotation

theta = -pi/2

Z= ?