If cos(α+β)=3/5,sin(α−β)=5/13 find tan2α... | Trigonometry

JEE MAIN 2019

08-04-2019 S1

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 :

Select the correct option:

$\frac{21}{16}$

$\frac{63}{52}$

$\frac{33}{52}$

$\frac{63}{16}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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