Cho \(\sin \alpha .\cos \left( {\alpha + \beta } \right) = \sin \beta \) với \(\alpha + \beta \ne \frac{\pi }{2} + k\pi ,\,\,\alpha \ne \frac{\pi }{2} + l\pi ,\,\,\left( {k,\,l \in \mathbb{Z}} \right)\). Ta có:
A.\(\tan \left( {\alpha + \beta } \right) = 2\cot \alpha \).
B.\(\tan \left( {\alpha + \beta } \right) = 2\cot \beta \).
C.\(\tan \left( {\alpha + \beta } \right) = 2\tan \beta \).
D.\(\tan \left( {\alpha + \beta } \right) = 2\tan \alpha \).