Properties of Triangles question bank (Mathematics)

with usual notations, if triangle $\mathrm{ABC}$ is right angled at $\mathrm{C}$, then $\left(\frac{\mathrm{a}^{2}+\mathrm{b}^{2}}{\mathrm{a}^{2}-\mathrm{b}^{2}}\right) \sin (\mathrm{A}-\mathrm{B})=$

With usual notations, if the angles $A, B, C$ of a $\triangle A B C$ are in A.P. and $b: c=\sqrt{3}: \sqrt{2}$, then $\angle \mathrm{A}=$