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Math Help - find a complex number given modulus of another

  1. #1
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    find a complex number given modulus of another

    If z = x + iy, and the modulus of z is 1, then find:
     \frac{z - 1}{z + 1}
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by differentiate View Post
    If z = x + iy, and the modulus of z is 1, then find:
     \frac{z - 1}{z + 1}
    Well, what have you tried?

    To start you off you could try:

    <br />
 \frac{z - 1}{z + 1}=\frac{(x-1)+iy}{(x+1)+iy}<br />

    CB
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  3. #3
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    Multiply both numerator and denominator by \overline{z}+ 1.
    A miracle occurs!
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