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Math Help - Imaginary Number/Conjugate question

  1. #1
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    Imaginary Number/Conjugate question

    The problem is:

    1/1+i

    (1 over 1 plus i)


    The answer I have is: 1 - i / 2

    (1 minus i over 2)


    However the answer in the book is: 1/2 - 1/2 * i

    (one half minus one half i)


    Is my answer the same as the books answer or am I missing a step somewhere?
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  2. #2
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    Re: Imaginary Number/Conjugate question

    Quote Originally Posted by gurrry View Post
    The problem is:

    1/1+i

    (1 over 1 plus i)


    The answer I have is: 1 - i / 2

    (1 minus i over 2)


    However the answer in the book is: 1/2 - 1/2 * i

    (one half minus one half i)


    Is my answer the same as the books answer or am I missing a step somewhere?
    \frac{1}{2} - \frac{1}{2} \cdot i = \frac{1}{2}(1 - i) = \frac{1-i}{2}
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  3. #3
    Super Member TheChaz's Avatar
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    Re: Imaginary Number/Conjugate question

    \frac{1 - i}{2} =\frac{1}{2} - \frac{i}{2}

    This should not be causing you confusion!
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