If `alpha` and `beta` be two different roots of the equation `acos theta + b sin theta = c` then prove that `cos(alpha +beta) =(a^(2)-b^(2))/(a^(2)+b^(2))`

If alpha,beta are the roots of the equation a cos theta+b sin theta=c, then prove that cos(alpha+beta)=(a^(2)-b^(2))/(a^(2)+b^(2))

If alpha and beta be the two different roots of equation a cos theta+b sin theta=c ,prove that : tan(alpha+beta)=(2ab)/(a^(2)-b^(2))

If alpha and beta be two different roots of equation,a cos theta+b sin theta=c prove that sin(alpha+beta)=(2ab)/(a^(2)+b^(2))

If alpha " and " beta are two distinct roots of a cos theta + b sin theta = c , prove that sin (alpha + beta) = (2ab)/(a^(2)+b^(2))

If alpha and beta are the two different roots of equations alpha cos theta+b sin theta=c , prove that (a) tan (alpha-beta)=(2ab)/(a^(2)-b^(2)) (b) cos(alpha+beta)=(a^(2)-b^(2))/(a^(2)+b^(2))

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

If alpha " and " beta are two distinct roots of a cos theta + b sin theta = c , prove that cos alpha + cos beta = (2ac)/(a^(2)+ b^(2))

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

If alpha "and " beta be two distinct real numbers such that (alpha-beta) ne 2 n pi for any integer n satisfying the equations a cos theta + b sin theta =c then prove that (i) "cos " (alpha+ beta) =(a^(2) -b^(2))/(a^(2) +b^(2)) " "(ii) "sin " (alpha + beta) = (2ab)/(a^(2)+b^(2))

If alpha, beta be the solutions of theta for the equation a tan theta + b sec theta = c then prove that tan(alpha+ beta) = 2ac/(a^(2)-c^(2)) .