SOLUTION: The complex number z = −1 + i in polar form is z =

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Question 1088145: The complex number
z = −1 + i
in polar form is
z =
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
Polar form of +z+=+a+%2B+bi+ is:
+z+=+r%28cos%28theta%29+%2B+i%2Asin%28theta%29%29+
where +r+=+sqrt%28a%5E2+%2B+b%5E2%29++
and +theta+=+tan%5E-1%28b%2Fa%29+%2B+k%2Api+ (in radians)
k = 0 if a>0
k = 1 if a<0

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Back to the problem at hand:
z = -1 + i
r = +sqrt%28%28-1%29%5E2+%2B+%281%29%5E2%29+=+sqrt%282%29+
+theta+=+tan%5E-1%281%2F-1%29+%2B+pi+=+-pi%2F4+%2B+pi+=+3pi%2F4+ radians (135 degrees CCW from positive x-axis)
Putting it all together:


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