For let and a number | Trigonometric Ratios | JEE Main 2024

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JEE MAIN 2024

30-01-2024

Question

For $\alpha, \beta \in\left(0, \frac{\pi}{2}\right)$, let $3 \sin (\alpha+\beta)=2 \sin (\alpha-\beta)$ and a real number k be such that $\tan \alpha=\mathrm{k} \tan \beta$. Then the value of $k$ is equal to:

Select the correct option:

A

$-\frac{2}{3}$

B

-5

C

$\frac{2}{3}$

D

5

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

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