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Inverse Trigonometric Functions question

2015 · Shift 0 · Q35

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PYQ Library
JEE Main
Mathematics
Inverse Trigonometric Functions
2015 · Shift 0 · Q35

Inverse Trigonometric Functions question

2015 · Shift 0 · Q35

JEE MainMathematicsInverse Trigonometric FunctionsMCQ+4 / −1

Let

{\tan ^{ - 1}}y = {\tan ^{ - 1}}x + {\tan ^{ - 1}}\left( {{{2x} \over {1 - {x^2}}}} \right),

where

\left| x \right| \lt {1 \over {\sqrt 3 }}.

Then a value of

y

is :

A
${{3x - {x^3}} \over {1 + 3{x^2}}}$
B
${{3x + {x^3}} \over {1 + 3{x^2}}}$
C
${{3x - {x^3}} \over {1 - 3{x^2}}}$
D
${{3x + {x^3}} \over {1 - 3{x^2}}}$

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