Mathematics · 2019
JEE Main · 8 April 2019, Shift 1 · Q88
If cos (α+β)=3/5, sin (α-β)=5/13 and 0<α, β<(π)/4, then tan (2 α) is equal to:
If $\displaystyle \cos (\alpha+\beta)=\frac{3}{5}, \sin (\alpha-\beta)=\frac{5}{13}$ and
$\displaystyle 0<\alpha, \beta<\frac{\pi}{4}$, then $\displaystyle \tan (2 \alpha)$ is equal to:
Official answer
(2)
$\displaystyle \frac{63}{16}$
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JEE Main 2019 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.