SOLUTION: Express z1 = √​3 - i in polar form.

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Question 1180603: Express z1 = √​3 - i in polar form.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Given:
z%5B1%5D=sqrt%283%29-i
If z=a%2Bb%2Ai, then
r=sqrt%28a%5E2%2Bb%5E2%29
and
theta=tan%5E-1%28b%2Fa%29
Here,
z=z%5B1%5D,a=sqrt%283%29, and b=-1

Thus,
r=sqrt%28%28sqrt%283%29%29%5E2%2B%28-1%29%5E2%29
r=sqrt%283%2B1%29
r=sqrt%284%29
r=2

theta=tan%5E-1%28-1%2Fsqrt%283%29%29
theta=-pi%2F6
Hence,

The polar form is (2,-pi%2F6)