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Inverse Trigonometric Functions question

2024 · Shift 2 · Q18

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JEE Advanced
Mathematics
Inverse Trigonometric Functions
2024 · Shift 2 · Q18

Inverse Trigonometric Functions question

2024 · Shift 2 · Q18

JEE AdvancedMathematicsInverse Trigonometric FunctionsMCQ+3 / −1

Considering only the principal values of the inverse trigonometric functions, the value of

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

is

A
$\frac{7}{24}$
B
$\frac{-7}{24}$
C
$\frac{-5}{24}$
D
$\frac{5}{24}$

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