If `alpha,beta` are roots of `z^2sin^2theta-zsin2theta+1=0` where `0

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))

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 cos alpha cos beta = (c^(2) - b^(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 cos alpha + cos beta = (2ac)/(a^(2) + b^(2))

If alpha and beta are roots of x^(2)-(sqrt(1-cos 2 theta))x+theta=0 , where 0 lt theta lt (pi)/2 . Then lim_(theta to 0^(+))(1/(alpha)+1/(beta)) is

If alpha and beta are roots of x^(2)-(sqrt(1-cos 2 theta))x+theta=0 , where 0 lt theta lt (pi)/2 . Then lim_(theta to 0^(+))(1/(alpha)+1/(beta)) is

If alpha and beta are roots of x^(2)-(sqrt(1-cos 2 theta))x+theta=0 , where 0 lt theta lt (pi)/2 . Then lim_(theta to 0^(+))(1/(alpha)+1/(beta)) is

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,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 the roots of z+ (1)/(z) =2 (cos theta + I sin theta ) where 0 lt theta lt pi and i=sqrt(-1) show that |alpha - i |= | beta -i|