Gaokao Math Practice Question
角 $\alpha, \beta$ 满足 $\sin (\alpha+\beta)+\cos (\alpha+\beta)=2 \sqrt{2} \cos \left(\alpha+\frac{\pi}{4}\right) \sin \beta$, 则 ($\quad$)
- A.$\tan (\alpha+\beta)=1$
- B.$\tan (\alpha+\beta)=-1$
- C.$\tan (\alpha-\beta)=1$
- D.$\tan (\alpha-\beta)=-1$
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