If $\alpha$ and $\beta$ are solutions of $\sin ^2 x+a \sin x+b=0$ as well that of $\cos ^2 x+c \cos

Question

If $\alpha$ and $\beta$ are solutions of $\sin ^2 x+a \sin x+b=0$ as well that of $\cos ^2 x+c \cos x+d=0$, then $\alpha+\beta$ is equal to

Professor PC Thomas Classes · Answer

Relating roots to coefficients for trigonometric identities. Option D follows from standard trigonometric polynomial relations.