What is the complex number z=−3+3√3i represented in polar form?

z=cis()

Step-by-step explanation:

The general form of a complex number z = x+iy

If x = rcos and y = rsin

where r is the modulus of the complex number and is the argument, z in polar form is represented as:

z =  rcos+ rsin

z = r(cos+ isin)

z = rcis

Given the complex number z=−3+3√3i

r =

since the argument is negative and tan is negative in the 2nd and 4th quadrant,

In the second quadrant, theta = 180- 60 = 120°

On substituting r and theta, the complex number in polar form is expressed as 6cis120°

answer: 60%

explanation:

÷

= 60%