Question:
If $\cos (\alpha+\beta)=\frac{3}{5}, \sin (\alpha-\beta)=\frac{5}{13}$ and $0<\alpha, \beta<\frac{\pi}{4}$, then $\tan (2 \alpha)$ is equal to :
Correct Option: 2
JEE Main Previous Year April 8, 2019 (I)
Solution:
If $\cos (\alpha+\beta)=\frac{3}{5}, \sin (\alpha-\beta)=\frac{5}{13}$ and $0<\alpha, \beta<\frac{\pi}{4}$, then $\tan (2 \alpha)$ is equal to :
Correct Option: 2