MathematicsMedium45×since 2004Q5640For α,β∈(0,π/2)\alpha, \beta \in(0, \pi / 2)α,β∈(0,π/2), let 3sin(α+β)=2sin(α−β)3 \sin (\alpha+\beta)=2 \sin (\alpha-\beta)3sin(α+β)=2sin(α−β) and a real number kkk be such that tanα=ktanβ\tan \alpha=k \tan \betatanα=ktanβ. Then, the value of kkk is equal toA5B−-−2/3C−-−5D2/3Check answerSkip