If `tan alpha ,tan beta ` are th roots of the eqution `x^2+px+q=0 (p != 0)` Then `sin^2(alpha+beta)+p sin(alpha+beta)cos(alpha+beta)+qcos^2(alpha+beta)=`

If tan alpha tan beta are the roots of the equation x^2 + px +q =0(p!=0) then

Q. If tan alpha and tan beta are the roots of equation x^2-12x-3=0 , then the value of sin^2(alpha+beta)+2sin(alpha+beta)cos(alpha+beta)+5cos^2(alpha+beta) is

If alpha and beta are the roots of the equation px^(2) + qx + 1 = , find alpha^(2) beta + beta^(2)alpha .

If alpha and beta are the roots of the equation x^2-px + q = 0 then the value of (alpha+beta)x -((alpha^2+beta^2)/2)x^2+((alpha^3+beta^3)/3)x^3+... is

If alpha and beta are the roots of the equation x^2-px + q = 0 then the value of (alpha+beta)x -((alpha^2+beta^2)/2)x^2+((alpha^3+beta^3)/3)x^3+... is

If cos(alpha+beta)=0 then sin(alpha+2beta)=

Prove that: cos2alpha\ cos2beta+sin^2(alpha-beta)-sin^2(alpha+beta)=cos2(alpha+beta) .

If alpha , beta are the roots of the equation x^(2)-px+q=0 , then (alpha^(2))/(beta^(2))+(beta^(2))/(alpha^(2)) is equal to :

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 , beta , gamma are the roots of x^3 +px^2 +qx +r=0 then find sum alpha^2 beta + sum alpha beta ^2