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JEE MAIN 2019
08-04-2019 S1
Question
If $\alpha=\cos ^{-1}\left(\frac{3}{5}\right), \beta=\tan ^{-1}\left(\frac{1}{3}\right)$, where $0<\alpha$, $\beta<\frac{\pi}{2}$, then $\alpha-\beta$ is equal to
Select the correct option:
A
$\tan ^{-1}\left(\frac{9}{14}\right)$
B
$\cos ^{-1}\left(\frac{9}{5 \sqrt{10}}\right)$
C
$\sin ^{-1}\left(\frac{9}{5 \sqrt{10}}\right)$
D
$\tan ^{-1}\left(\frac{9}{5 \sqrt{10}}\right)$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
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Mathematics
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