If `alpha` the fifth root of unity then

If alpha Is the fifth root of unity, then :

If alpha Is the fifth root of unity,then :

If alpha Is the fifth root of unity, then, prove that : Log_2|1+alpha+alpha^(2)+alpha^(3)-(1/alpha)|=1

If alpha is the nth root of unity then 1+2alpha+3alpha^(2)+ ............to n terms is equal to

If alpha is the nth root of unity then prove that 1+2 alpha+ 3 alpha^2+…. upto n terms

If alpha is the nth root of unity then 1+2alpha+3alpha^2+…. to n terms equal to

If alpha!=1 is a fifth root of unity,then log_(sqrt(3))|1+alpha+alpha^(2)+alpha^(3)-(2)/(alpha)|=

If 1,alpha_(1),alpha_(2),alpha_(3),alpha_(4) are the fifth roots of unity then sum_(i=1)^(4)(1)/(2-alpha_(i))=

If alpha is complex fifth root of unity and (1+alpha +alpha^(2)+ alpha^(3))^(2005) = p + qalpha + ralpha^(2) + salpha^(3) (where p,q,r,s are real), then find the value of p+ q+r+s .

If alpha is complex fifth root of unity and (1+alpha +alpha^(2)+ alpha^(3))^(2005) = p + qalpha + ralpha^(2) + salpha^(3) (where p,q,r,s are real), then find the value of p+ q+r+s .