If `z=(sqrt3/2+i/2)^5+(sqrt3/2-i/2)^5`, then

If z = (-4 +2 sqrt3i)/(5 +sqrt3i) , then the value of arg(z) is

If z(2-2sqrt(3i))^(2)=i(sqrt(3)+i)^(4), then arg(z)=

If z=((sqrt(3))/(2)+(1)/(2)i)^(5)+((sqrt(3))/(2)-(i)/(2))^(5), then (a) im(z)=0 (b) Re(z)>0,Im(z)>0(c)Re(z)>0,Im(z)<0 (d) Re(z)=3

Prove that (sqrt(3)/(2) +(i)/(2))^(5) + (sqrt(3)/(2) -(i)/(2))^(5) is purely real.

If z(2-i2sqrt(3))^(2)=i(sqrt(3)+i)^(4), then amplitude of z is

If z=((sqrt(3))/(2)+(i)/(2))^(5)+((sqrt(3))/(2)-(i)/(2))^(5), then

If z=((sqrt(3))/(2)+(i)/(2))^(5)+((sqrt(3))/(2)-(i)/(2))^(5), then prove that Im(z)=0

If z=((sqrt(3))/(2)+(i)/(2))^(5)+((sqrt(3))/(2)-(i)/(2))^(5), then prove that Im(z)=0