If `z= cos((8pi)/11)+isin((8pi)/11),i=sqrt(-1)` then the value of `Re(z+z^2+z^3+z^4+z^5)` is `lambda` then ` 20lambda^2 =`

If z=cos((8 pi)/(11))+i sin((8 pi)/(11));i=sqrt(-1) , then the value of Re(z+z^(2)+z^(3)+z^(4)+z^(5)) is lambda , then 20 lambda^(2) is equal to

If z = cos"" pi/4+ isin (pi/6) ,then

If z=(1)/(2)(i sqrt(3)-1), then find the value of (z-z^(2)+2z^(3))(2-z+z^(2))

If |z-2-i|=|z|sin((pi)/(4)-arg z)|, where i=sqrt(-1) ,then locus of z, is

If z = i(i + sqrt(2)) , then value of z^(4) + 4z^(3) + 6z^(2) + 4z is

If (pi)/(3) and (pi)/(4) are arguments of z_(1) and bar(z)_(2), then the value of arg (z_(1)z_(2)) is

If Z=cos phi+isin phi(AA phi in ((pi)/(3),pi)) , then the value of arg(Z^(2)-Z) is equal to (where, arg(Z) represents the argument of the complex number Z lying in the interval (-pi, pi] and i^(2)=-1 )

If z_(r)=cos((pi)/(3^(r)))+i sin((pi)/(3^(r))),r=1,2,3 prove that z_(1)z_(2)z_(3)z_(oo)=i