If `alpha` and `beta` are the roots of the equation `1/2x^2-sin2thetax+cos2theta=0`, then the value of `1/alpha+1/beta` is:

If alpha and beta are the roots of the equation x^2+4x + 1=0(alpha > beta) then find the value of 1/(alpha)^2 + 1/(beta)^2

If alpha,beta are the roots of the quadratic equation x^2-2(1-sin2theta)x-2 cos^2(2theta) = 0 , then the minimum value of (alpha^2+beta^2) is equal to

If alpha,beta are the roots of the quadratic equation x^(2)-2(1-sin2 theta)x-2cos^(2)(2 theta)=0, then the minimum value of (alpha^(2)+beta^(2)) is equal to

If alpha,beta are the roots of the quadratic equation x^(2)-2(1-sin2 theta)x-2cos^(2)(2 theta)=0, then the minimum value of (alpha^(2)+beta^(2)) is equal to

If tan alpha and tan beta are the roots of the equation x^(2) +px + q = 0 , then the value of sin^(2) (alpha +beta) + p cos (alpha + beta) sin (alpha + beta) + q cos^(2) (alpha + beta) is

If alpha and beta are roots of the equation 2x^(2)-3x-5=0 , then the value of (1)/(alpha)+(1)/(beta) is

If alpha and beta are roots of the equation x^(2)-2x+1=0 , then the value of (alpha)/(beta)+(beta)/(alpha) is

If alpha and beta are the roots of the equation x^2-4x + 1=0(alpha > beta) then find the value of f(alpha,beta)=(beta^3)/2csc^2(1/2tan^(- 1)(beta/alpha))+(alpha^3)/2sec^2(1/2tan^- 1(alpha/beta))

If alpha and beta are the roots of the equations x^(2)-2x-1=0 , then what is the value of alpha^(2)beta^(-2)+beta^(2)alpha^(-2)

If alpha and beta are the roots of the quadratic equation x^(2)-6x+1=0, then the value of (alpha^(2))/(beta^(2))+(beta^(2))/(alpha^(2)) is