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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

1 Easy
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Application +4 | -1
The value of sin⁡−1x−sin⁡−1(x2−3−3x22)\sin ^{-1} x-\sin ^{-1}\left(\frac{x}{2}-\frac{\sqrt{3-3 x^2}}{2}\right); 0≤x≤1/20 \leq x \leq 1 / 2 is equal to
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Correct option: C
π/3\pi / 3
The correct answer is C (π/3\pi / 3) because substituting x=sin⁡θx = \sin \theta and simplifying the expression leads to this constant value.

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