SOLUTION: Could someone write the complex number of z = -2 + 2i in trigonometric form?

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Question 1075696: Could someone write the complex number of z = -2 + 2i in trigonometric form?
Answer by ikleyn(52798) About Me  (Show Source):
You can put this solution on YOUR website!
Could someone write the complex number of z = -2 + 2i in trigonometric form?
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I can. 

z = -2 + 2i = %282%2Asqrt%282%29%29%2A%28-sqrt%282%29%2F2+%2B+i%2A%28sqrt%282%29%2F2%29%29 = %282%2Asqrt%282%29%29%2A%28cos%283pi%2F4%29+%2B+i%2Asin%283pi%2F4%29%29.


The mudulus is 2%5E2+%2B+2%5E2%29 = sqrt%288%29 = 2%2Asqrt%282%29.

The argument is 3pi%2F4.

If you can understand what does it mean.


If you can not, then read the lessons on complex numbers
    - Complex numbers and arithmetical operations on them
    - Complex plane
    - Addition and subtraction of complex numbers in complex plane
    - Multiplication and division of complex numbers in complex plane
in this site.