The principal value of sin − 1 ( sin 3 5 π ) is, 3 5 π , − 3 5 π , − 3 π , 3 4 π

sin − 1 ( sin 3 5 π ) = sin − 1 ( − 2 3 ) = − 3 π

The principal value of sin − 1 ( sin 3 5 π ) is

Question: Answered & Verified by Expert

The principal value of
$\sin ^{-1}\left(\sin \frac{5 \pi}{3}\right)$ is

MathematicsInverse Trigonometric FunctionsJEE Main

Options:

Solution:

1938 Upvotes Verified Answer

The correct answer is: $-\frac{\pi}{3}$

$\sin ^{-1}\left(\sin \frac{5 \pi}{3}\right)=\sin ^{-1}\left(-\frac{\sqrt{3}}{2}\right)=-\frac{\pi}{3}$

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