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Inverse Trigonometric Functions question

2025 · 29 Jan · Shift 1 · Q48

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JEE Main
Mathematics
Inverse Trigonometric Functions
2025 · 29 Jan · Shift 1 · Q48

Inverse Trigonometric Functions question

2025 · 29 Jan · Shift 1 · Q48

JEE MainMathematicsInverse Trigonometric FunctionsNumerical+4 / −1

Let S =

\left\{ x : \cos^{-1} x = \pi + \sin^{-1} x + \sin^{-1} [2x + 1] \right\}

. Then

\sum\limits_{x \in S} (2x - 1)^2

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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