JEE Main 202430 Jan, Evening shiftMathematicsMediumTrigonometry118× since 2002For 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 toAOption A. 5BOption B. −-−2/3COption C. −-−5DOption D. 2/3CheckSkip · show solution
