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A possible value of \( \tan \left(\frac{1}{4} \sin ^{-1} \frac{\sqrt{63}}{8}\right) \) is: [JEE Main 2021, 24 Feb (Shift…

Q1

A possible value of \( \tan \left(\frac{1}{4} \sin ^{-1} \frac{\sqrt{63}}{8}\right) \) is:

[JEE Main 2021, 24 Feb (Shift 2)]

a

\( \sqrt{7}-1 \)

b

\( \frac{1}{\sqrt{7}} \)

c

\( 2 \sqrt{2}-1 \)

d

\( \frac{1}{2 \sqrt{2}} \)

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