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Inverse Trigonometric Functions question

2021 · 20 Jul · Shift 2 · Q25

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JEE Main
Mathematics
Inverse Trigonometric Functions
2021 · 20 Jul · Shift 2 · Q25

Inverse Trigonometric Functions question

2021 · 20 Jul · Shift 2 · Q25

JEE MainMathematicsInverse Trigonometric FunctionsMCQ+4 / −1

The value of

\tan \left( {2{{\tan }^{ - 1}}\left( {{3 \over 5}} \right) + {{\sin }^{ - 1}}\left( {{5 \over {13}}} \right)} \right)

is equal to :

A
${{ - 181} \over {69}}$
B
${{220} \over {21}}$
C
${{ - 291} \over {76}}$
D
${{151} \over {63}}$

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