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JEE Math Practice Question

Considering the principal values of the inverse trigonometric functions, $\sin ^{-1} (\frac{\sqrt{3}}{2} x+\frac{1}{2} \sqrt{1-x^2} ),-\frac{1}{2}

  1. A.$\frac{-5 \pi}{6}-\sin ^{-1} x$
  2. B.$\frac{5 \pi}{6}-\sin ^{-1} x$
  3. C.$\frac{\pi}{6}+\sin ^{-1} x$
  4. D.$\frac{\pi}{4}+\sin ^{-1} x$

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