If `acos2theta+bsin2theta=c ` has `alpha and beta` as its roots, then prove that `tanalpha+tanbeta=(2b)/(a+c)`.

If a cos2 theta+b sin2 theta=chas alpha and beta as its roots,then prove that tan alpha+tan beta=(2ab)/(a+c)tan alpha+tan beta=(c-a)/(c+a)tan(alpha+beta)=(b)/(a)

If a cos2x+b sin2x=c has alpha and beta as its roots,then prove that.

If a cos 2 theta + b sin 2 theta =c has alpha and beta as its solution, then the value of tan alpha + tan beta is

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)) .

If alpha and beta are distict 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 cos (theta - alpha) = a and sin(theta - beta) = b (0 lt theta - alpha, theta - beta lt pi//2) , then prove that cos^(2) (alpha - beta) + 2ab sin (alpha - beta) = a^(2) + b^(2)