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Inverse Trigonometric Functions question

2025 · 4 Apr · Shift 1 · Q45
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  5. /2025 · 4 Apr · Shift 1 · Q45

Inverse Trigonometric Functions question

2025 · 4 Apr · Shift 1 · Q45

JEE MainMathematicsInverse Trigonometric FunctionsMCQ+4 / −1
Considering the principal values of the inverse trigonometric functions, sin⁡−1(32x+121−x2),−12<x<12\sin ^{-1}\left(\frac{\sqrt{3}}{2} x+\frac{1}{2} \sqrt{1-x^2}\right),-\frac{1}{2}\lt x\lt \frac{1}{\sqrt{2}}sin−1(23​​x+21​1−x2​),−21​<x<2​1​, is equal to
  1. A
    −5π6−sin⁡−1x\frac{-5 \pi}{6}-\sin ^{-1} x6−5π​−sin−1x
  2. B
    5π6−sin⁡−1x\frac{5 \pi}{6}-\sin ^{-1} x65π​−sin−1x
  3. C
    π6+sin⁡−1x\frac{\pi}{6}+\sin ^{-1} x6π​+sin−1x
  4. D
    π4+sin⁡−1x\frac{\pi}{4}+\sin ^{-1} x4π​+sin−1x
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