SOLUTION: find the principal value of the argument of 1+i

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Question 1035901: find the principal value of the argument of 1+i
Answer by ikleyn(52879) About Me  (Show Source):
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find the principal value of the argument of 1+i
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1 + i = sqrt%282%29%2A%28sqrt%282%29%2F2+%2B+i%2A%28sqrt%282%29%2F2%29%29 = sqrt%282%29%2A%28cos%28pi%2F4%29+%2B+i%2Asin%28pi%2F4%29%29.


The modulus of the complex number  (1+i)  is  sqrt%282%29.

The argument of the complex number  (1+i)  is  pi%2F4+%2B+2k%2Api.

The principal value of the argument of this complex number is pi%2F4.