If z=cos((8 pi)/(11))+i sin((8 pi)/(11))...

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

Similar Questions

Explore conceptually related problems

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

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

If z=4+i sqrt(7) then the value of Z^(3)-4Z^(2)-9z+91 equal

If z_(k)=cos((k pi)/(10))+i sin((k pi)/(10)), then z_(1)z_(2)z_(3)z_(4) is equal to (A)-1 (B) 2(C)-2 (D) 1

If quad cos((2r pi)/(5))+i sin((2r pi)/(5)),r=0,1,2,3,4 then z_(1)z_(2)z_(3)z_(4)z_(5) is equal to ,r=0,1,2,3,4

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

The value of (1+Iz+z^(5)+z^(8))^(9) when z=(sqrt(3)+i)/(2) is

If z = -5 + 3i , find the value of (z^(4)+9z^(3)+26z^(2)-14z + 8) .