[" If "alpha" and "beta" are the solutions of "sin^(2)x+a sin x+b=0" as well as "],[" that of "cos^(2)x+c cos x+d=0," then "sin(alpha+beta)" is equal to "]

If alpha and beta are solutions of sin^(2)x+a sin x+b=0 as well as that of cos^(2)x+c cos x+d=0 then sin(alpha+beta) is equal to

If alpha and beta are solutions of sin^2 x + a sin x+b=0 as well as that of cos^2x + c cosx + d =0 then sin(alpha + beta) is equal to

If alpha and beta are solutions of sin^2x+asinx+b=0 as well as of cos^2x+c cosx+d=0 then sin(alpha+beta) is equal to

If alpha, beta are solutions of a cos x + b sin x = c then cos alpha + cos beta=

If alpha, beta are solutions of a cos x + b sin x = c then sin alpha + sin beta =

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, beta are solutions of a cos theta + b sin theta = c where a, b, c in R and a^(2) + b^(2) gt 0, cos alpha ne cos beta, sin alpha ne sin beta then prove that sin alpha sin beta = (c^(2)-a^(2))/(a^(2) + b^(2))

If alpha, beta are solutions of a cos theta + b sin theta = c where a, b, c in R and a^(2) + b^(2) gt 0, cos alpha ne cos beta, sin alpha ne sin beta then prove that sin alpha + sin beta = (2bc)/(a^(2) + b^(2))