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\(\tan ^{-1}\left(\frac{1}{4}\right)+\tan ^{-1}\left(\frac{2}{9}\right)\) is equal to [JEE Main 2023]

Q1

\(\tan ^{-1}\left(\frac{1}{4}\right)+\tan ^{-1}\left(\frac{2}{9}\right)\) is equal to

[JEE Main 2023]

a

\(\frac{1}{2} \cos ^{-1}\left(\frac{3}{5}\right)\)

b

\(\frac{1}{2} \sin ^{-1}\left(\frac{3}{5}\right)\)

c

\(\frac{1}{2} \tan ^{-1}\left(\frac{3}{5}\right)\)

d

\(\tan ^{-1}\left(\frac{1}{2}\right)\)

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