The principal value of sin − 1 ( − 2 3 ), 3 − 2 π , 3 − π , 3 4 π , 3 5 π

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

The principal value of sin − 1 ( − 2 3 )

Question: Answered & Verified by Expert

The principal value of
$\sin ^{-1}\left(-\frac{\sqrt{3}}{2}\right)$

MathematicsInverse Trigonometric FunctionsJEE Main

Options:

Solution:

1662 Upvotes Verified Answer

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

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

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