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Inverse Trigonometric Functions question

2023 · 25 Jan · Shift 1 · Q46

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JEE Main
Mathematics
Inverse Trigonometric Functions
2023 · 25 Jan · Shift 1 · Q46

Inverse Trigonometric Functions question

2023 · 25 Jan · Shift 1 · Q46

JEE MainMathematicsInverse Trigonometric FunctionsNumerical+4 / −1

If the sum of all the solutions of

{\tan ^{ - 1}}\left( {{{2x} \over {1 - {x^2}}}} \right) + {\cot ^{ - 1}}\left( {{{1 - {x^2}} \over {2x}}} \right) = {\pi \over 3}, - 1 \lt x \lt 1,x e 0

, is

\alpha - {4 \over {\sqrt 3 }}

, then

\alpha

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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