If $\sin \alpha, \sin \beta$ and $\cos \alpha$ are in Geometric Progression, then the roots of the e

Question

If $\sin \alpha, \sin \beta$ and $\cos \alpha$ are in Geometric Progression, then the roots of the equation $x^2+2 x \cot \beta+1=0$ are always

Professor PC Thomas Classes · Answer

Discriminant is non-negative, ensuring roots are always real.