If z = x + iy, and the modulus of z is 1, then find: $\displaystyle \frac{z - 1}{z + 1}$
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Originally Posted by differentiate If z = x + iy, and the modulus of z is 1, then find: $\displaystyle \frac{z - 1}{z + 1}$ Well, what have you tried? To start you off you could try: $\displaystyle \frac{z - 1}{z + 1}=\frac{(x-1)+iy}{(x+1)+iy} $ CB
Multiply both numerator and denominator by $\displaystyle \overline{z}+ 1$. A miracle occurs!
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