[" EXAMPLE 7.If "alpha=(1+sqrt(3))/(2)" ,then what is the value of "],[1+alpha^(8)+alpha^(16)+alpha^(24)+alpha^(32)?]

If alpha(1+isqrt3)/(2), then what is the value of 1+alpha^(8)+alpha^(16)+alpha^(24)+alpha^(32) ?

If alpha=(pi)/(7), then find the value of ((1)/(cos alpha)+(2cos alpha)/(cos2 alpha))

If alpha=(pi)/(7) then find the value of ((1)/(cos alpha)+(2cos alpha)/(cos2 alpha))

If alpha is nonreal and alpha=(1)^((1)/(5)) then the find the value of 2^(|1+alpha+alpha^(2)+alpha^(-2)-alpha^(-2))-alpha^(-1)|

If tan alpha = sqrt3+2 , then the value of tan alpha - cot alpha is

If alpha is nonreal and alpha= (1)^(1/5) then the find the value of 2^(|1+alpha+alpha^2+alpha^-2-alpha^-1|)

If alpha is a root of x^(3)-x-1=0, compute the value of alpha^(10)+2 alpha^(8)-alpha^(7)-3 alpha^(6)-3 alpha^(5)+4 alpha^(4)+2 alpha^(3)-4 alpha^(2)-6 alpha

If tan alpha= sqrt2-1 then the value of tan alpha-cot alpha = ?

If alpha is a non-real fifth root of unity, then the value of 3^(|1+alpha+alpha^(2),alpha^(-2)-alpha^(-1)| , is

If alpha is a non-real fifth root of unity, then the value of 3^(|1+alpha+alpha^(2),alpha^(-2)-alpha^(-1)| , is