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Inverse Trigonometric Functions question

2019 · 12 Apr · Shift 1 · Q32

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PYQ Library
JEE Main
Mathematics
Inverse Trigonometric Functions
2019 · 12 Apr · Shift 1 · Q32

Inverse Trigonometric Functions question

2019 · 12 Apr · Shift 1 · Q32

JEE MainMathematicsInverse Trigonometric FunctionsMCQ+4 / −1

The value of

{\sin ^{ - 1}}\left( {{{12} \over {13}}} \right) - {\sin ^{ - 1}}\left( {{3 \over 5}} \right)

is equal to :

A
$\pi - {\sin ^{ - 1}}\left( {{{63} \over {65}}} \right)$
B
${\pi \over 2} - {\sin ^{ - 1}}\left( {{{56} \over {65}}} \right)$
C
${\pi \over 2} - {\cos ^{ - 1}}\left( {{9 \over {65}}} \right)$
D
$\pi - {\cos ^{ - 1}}\left( {{{33} \over {65}}} \right)$

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