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KCET2007MathematicsComplex Number

The imaginary part of i^ i is

Options

  1. A0
  2. B1
  3. C2
  4. D-1

Correct answer

A. 0

Step-by-step solution

Let (a+i b)=i^ i Taking log on both sides, we get (a+i b)=i i (a+i b)=i(i / 2) (a+i b)=- 2 (a+i b)=e^ - / 2 On comparing imaginary part of i^ i is 0 .

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