" If "alpha=(-1+sqrt(-3))/(2),beta=(-1-sqrt(-3))/(2)," prove that "(alpha)/(beta)+(beta)/(alpha)+1=0

if alpha=(-1+sqrt(-3))/(2),beta=(-1-sqrt(-3))/(2) then prove that (alpha)/(beta)+(beta)/(alpha)+1=0

if alpha=(-1+sqrt(-3))/2 , beta=(-1-sqrt(-3))/2 then prove that alpha/beta+beta/alpha +1=0

If alpha=(-1-sqrt-3)/(2) and beta=(-1+sqrt(-3))/(2), "show that" alpha^(2)+alphabeta+beta^(2)=0.

If alpha=tan^(-1)((sqrt(3)x)/(2y-x)),beta=tan^(-1)((2x-y)/(sqrt(3y)))" then "alpha-beta=

If cos alpha=(1)/(sqrt(2)),sin beta=(1)/(sqrt(3)), show that tan((alpha+beta)/(2))cot((alpha-beta)/(2))=5+2sqrt(6) or 5-2sqrt(6)

If sin alpha=(1)/(sqrt(10)) and sin beta=(1)/(sqrt(5)) then prove that alpha+beta=(pi)/(4)

If tan alpha=(1)/(7),sin beta=(1)/(sqrt(10)), prove that alpha+2 beta=(pi)/(4), where 0

If tan alpha=(1)/(7),sin beta=(1)/(sqrt(10)), Prove that :alpha+2 beta=(pi)/(4), where 0

If alpha and beta are zeroes of a quadratic polynomial ax^(2)+bx+c . Find the value of: (i) alpha^(2)-beta^(2) (ii) alpha^(3)+beta^(3) (iii) alpha^(4)beta+beta^(4)alpha (iv) sqrt((alpha)/(beta))+sqrt((beta)/(alpha)) (v) (alpha^(2))/(beta)+(beta^(2))/(alpha) (alpha^(-1)+(1)/(alpha^(-1)))(beta^(-1)+(1)/(beta^(-1)))