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

If alpha and beta are distinct roots of acostheta+b sintheta=c , prove that sin(alpha+beta)=(2a b)/(a^2+b^2)

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 satisfy the equation, a cos2theta+b sin2theta=c then prove that : cos^2alpha+cos^2beta=(a^2+a c+b^2)/(a^2+b^2)

If alpha and beta are the solution of a cos theta + b sin theta = c , then

If sin(theta+alpha)=a, a n dsin(theta+beta)=b , prove that cos2(alpha-beta)-4a bcos(alpha-beta)=1-2a^2-2b^2

If tan beta = 3 tan alpha, prove that tan (alpha + beta) = (2sin 2beta)/(1+cos 2beta)

alpha & beta are solutions of a cos theta+b sin theta=c(cosalpha != cos beta)&(sin alpha != sin beta) Then tan((alpha+beta)/2)=?