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Inverse Trigonometric Functions question

2022 · 25 Jun · Shift 2 · Q35

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JEE Main
Mathematics
Inverse Trigonometric Functions
2022 · 25 Jun · Shift 2 · Q35

Inverse Trigonometric Functions question

2022 · 25 Jun · Shift 2 · Q35

JEE MainMathematicsInverse Trigonometric FunctionsMCQ+4 / −1

The value of

{\tan ^{ - 1}}\left( {{{\cos \left( {{{15\pi } \over 4}} \right) - 1} \over {\sin \left( {{\pi \over 4}} \right)}}} \right)

is equal to :

A
$- {\pi \over 4}$
B
$- {\pi \over 8}$
C
$- {{5\pi } \over {12}}$
D
$- {{4\pi } \over 9}$

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