JEE Math Practice Question
For $$\alpha, \beta \in(0, \pi / 2)$$, let $$3 \sin (\alpha+\beta)=2 \sin (\alpha-\beta)$$ and a real number $$k$$ be such that $$\tan \alpha=k \tan \beta$$. Then, the value of $$k$$ is equal to
- A.5
- B.$$-$$2/3
- C.$$-$$5
- D.2/3
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