If z is a complex number such that modulus of z is 1 , find the real part of
Hello,
If the modulus of z is 1, this means that , where is the complex conjugate of z ( )
Property :
(that's because the conjugate of a sum is the sum of the conjugates, and because the conjugate of a real number is itself)
Thus the conjugate of is
Multiply by the conjugate of the denominator :
( denotes the real part)
so finally, the real part of is
Looks good to you ?