Let #Z_1,Z_2# be complex numbers with #|Z_1| = |Z_2| = 1#, prove that #|Z_1 + 1| + |Z_2 +1| +|Z_1Z_2 +1| >=2#?
1 Answer
Feb 3, 2018
See below.
Explanation:
If
then using de Moivre's identity
but
then