Homework Statement
Suppose z is complex number with |z| = 1 (also assume that z is not 1 + 0*i)
Let z = a + b*i where a and b are real numbers.
Find a real parameter, t, such that
z = (t-i)/(t+i), where i = sqrt(-1)
Homework Equations
|z| = sqrt(a^2+b^2)
The Attempt at...