lf `z + 1/z =1 and a = z^2017 +1/z^2017 and b` is the lastdigit of the number `2^(2^n)-1` ,, when the integer `n >1`, the value of `a^2 +b^2` is

If z+(1)/(z)=1 and a=z^(2017)+(1)/(z^(2017)) and b is the lastdigit of the number 2^(2^(n))-1, when the integer n>1, the value of a^(2)+b^(2) is

If z+(1)/(z)=1 and a=z^(2005)+(1)/(z^(2005)) and bis last digit of the number 2^(2^(n))-1 when the integer n>1 and a^(2)+b^(2)=13 lambda then lambda=..........

If z is a complex number satisfying z+z^(-1)=1 then z^(n)+z^(-n),n in N, has the value

If z is a complex number satisfying z + z^-1 = 1 then z^n + z^-n , n in N , has the value

For any two complex numbers z_1\ a n d\ z_2 and any two real numbers a ,\ b find the value of |a z_1-b z_2|^2+|a z_2+b z_1|^2dot

If n is an integer and z=cos theta+i sin theta , then (z^(2 n)-1)/(z^(2 n)+1)=

If z + 1/z = 2costheta, prove that |(z^(2n)-1)//(z^(2n)+1)|=|tanntheta|

If z + 1/z = 2costheta, prove that |(z^(2n)-1)//(z^(2n)+1)|=|tanntheta|

If |z_(1)|=|z_(2)|=………….=|z-(n)|=1 , then the value of |z_(1)+z_(2)+………+z_(n)| , is