For \alpha, \beta \in (0, \frac{\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 : [30-Jan-2024 Shift 2]

JEE Main 30-Jan-2024 Shift 2 Solved Paper

Section: Mathematics

Question : 2 of 90

Marks: +1, -0

For α,β∈(0,‌

), let 3sin‌(α+β)=2sin‌(α−β) and a real number k be such that tan‌α=k‌tan‌β. Then the value of k is equal to :

[30-Jan-2024 Shift 2]

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