Gaokao Math Practice Question
8. （5 分) 设 $\alpha \in\left(0, \frac{\pi}{2}\right), \beta \in\left(0, \frac{\pi}{2}\right)$, 且 $\tan \alpha=\frac{1+\sin \beta}{\cos \beta}$, 则（）
- A.$3 \alpha-\beta=\frac{\pi}{2}$
- B.$3 \alpha+\beta=\frac{\pi}{2}$
- C.$2 \alpha-\beta=\frac{\pi}{2}$
- D.$2 \alpha+\beta=\frac{\pi}{2}$
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