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The value of \( \tan \left(2 \tan ^{-1}\left(\frac{3}{5}\right)+\sin ^{-1}\left(\frac{5}{13}\right)\right) \) is equal t…

Q1

The value of \( \tan \left(2 \tan ^{-1}\left(\frac{3}{5}\right)+\sin ^{-1}\left(\frac{5}{13}\right)\right) \) is equal to:

[JEE Main 2021, 20 Jul (Shift 2)]

a

\( \frac{151}{63} \)

b

\( \frac{-291}{76} \)

c

\( \frac{220}{21} \)

d

\( \frac{-181}{69} \)

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