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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 …

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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