Question

$$\frac{\cos(\alpha+b)+2\ \sin\ \alpha\cdot \sin\ \beta}{2\ \sin\ \alpha\cdot \cos\ \beta-\sin(\alpha+\beta)}=24g(\alpha-\beta)$$

Solve for α

$\alpha \neq \pi n_{1}+\beta $
$\forall n_{1}\in \mathrm{Z}$

Solve for β

$\beta \neq \pi n_{1}+\alpha $
$\forall n_{1}\in \mathrm{Z}$