Complex Analysis Answers

show that z1(z2+z3)=z1z2+z1z3 for all complex numbers z1,z2 and z3.

Find the domain of analyticity of the function f(z)= 1/(z-3) + Cos^(2) z. Is it true that the integral of this function between any two points in the domain is path independent?

if SinA+sinB+sinC=0,cosA+cosB+cosC=0 then prove that A-B=2pi/3, B-C=2pi/3, C-A=2pi/3

find the modulus and arguments of the (1+i)

Prove that a finite set of points cannot have any accumulation point.

Prove that f(Z)=Z at Z=Z' is a continuous function but not differentiable

ram's television has 2 to 39 channels.If he starts at channel 13 and surfs pushing the channel-up botton 407 times.On what channel is the television when he stops.

if x+1/x=2cos pi/10 then X^5+1/X^5=?