If `alpha and beta` be the two distinct solutions of the equation `a cosx+bsinx=c`, then the value of `tan\ (alpha+beta)/2 is independent of c

Stastement - 1 alpha and beta are tow distinct solutions of the equations a cosx+b sin x=c, then tan ((alpha+beta)/2) is independent for c, Statement 2. Solution cosx+bsinx=c is possible, if -sqrt(a^2+b^2)le C le sqrt(a^2+b^2)

If alpha and beta are roots of the equation a cos theta + b sin theta = c , then find the value of tan (alpha + beta).

If alpha beta( alpha lt beta) are two distinct roots of the equation. ax^(2)+bx+c=0 , then

If alpha and beta are the roots of the quadratic equation ax^(2)+bx+1 , then the value of (1)/(alpha beta)+(alpha+beta) is

If alpha and beta are 2 distinct roots of equation a cos theta + b sin theta = C then cos( alpha + beta ) =

If alpha a n d beta are the solutions of the equation at a ntheta+bs e ctheta=c , then show that tan(alpha+beta)=(2a c)/(a^2-c^2)

If alpha and beta are the roots of the equation x^2+sqrt(alpha)x+beta=0 then the values of alpha and beta are -

If alpha, beta are the roots of the equation ax^2 + bx +c=0 then the value of (1+alpha+alpha^2)(1+beta+beta^2) 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,beta are the roots of the equation x^(2)-2x-1=0 , then what is the value of alpha^(2)beta^(-2)+alpha^(-2)beta^(2) ?