Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
The principal value of
$\sin ^{-1}\left(-\frac{1}{2}\right)$ is
MathematicsInverse Trigonometric FunctionsJEE Main
Options:
  • A $\frac{\pi}{3}$
  • B $\frac{\pi}{6}$
  • C $-\frac{\pi}{3}$
  • D $-\frac{\pi}{6}$
Solution:
2195 Upvotes Verified Answer
The correct answer is: $-\frac{\pi}{6}$
The principal value of
$\sin ^{-1}\left(-\frac{1}{2}\right)=\sin ^{-1} \sin \left(-30^{\circ}\right)=-\frac{\pi}{6}$

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.