jee-main 2019 Q67

jee-main · India · session2_08apr_shift1 Addition & Double Angle Formulae Addition/Subtraction Formula Evaluation

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:
(1) $\frac{21}{16}$
(2) $\frac{63}{52}$
(3) $\frac{33}{52}$
(4) $\frac{63}{16}$

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:\\
(1) $\frac{21}{16}$\\
(2) $\frac{63}{52}$\\
(3) $\frac{33}{52}$\\
(4) $\frac{63}{16}$

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