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Inverse Trigonometric Functions question

2002 · Shift 0 · Q76

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PYQ Library
JEE Main
Mathematics
Inverse Trigonometric Functions
2002 · Shift 0 · Q76

Inverse Trigonometric Functions question

2002 · Shift 0 · Q76

JEE MainMathematicsInverse Trigonometric FunctionsMCQ+4 / −1

{\cot ^{ - 1}}\left( {\sqrt {\cos \alpha } } \right) - {\tan ^{ - 1}}\left( {\sqrt {\cos \alpha } } \right) = x,

then sin x is equal to :

A
${\tan ^2}\left( {{\alpha \over 2}} \right)$
B
${\cot ^2}\left( {{\alpha \over 2}} \right)$
C
$\tan \alpha$
D
$cot\left( {{\alpha \over 2}} \right)$

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