The principal value of sin − 1 ( − 2 1 ) is, 3 π , 6 π , − 3 π , − 6 π

sin − 1 ( − 2 1 ) = − sin − 1 2 1 = 6 − π

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

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

MathematicsInverse Trigonometric FunctionsMHT CETMHT CET 2020 (15 Oct Shift 1)

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Solution:

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The correct answer is: $-\frac{\pi}{6}$

$\sin ^{-1}\left(-\frac{1}{2}\right)=-\sin ^{-1} \frac{1}{2}=\frac{-\pi}{6}$

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