Question

If |z1| = |z2| = ... = |zn| = 1, then show that |z1 + z2 + z3 + ... + zn| = |1/z1 + 1/z2 + 1/z3 + ... + 1/zn| .

Answer 1

Answer:

Step-by-step explanation:

Since,

Z1=Z2=... =Zn=1

Hence,

1/Zi=1

I. e. |1/Z1 +1/Z2 +... +1/Zn|=n

I. e. n=|Z1+Z2+... +Zn|

Answer 2

Step-by-step explanation:

using properties of modulus of complex number.

I hope it helps you