The value of $\sin ^{-1}(\sin 10)$ is

JEE MATHEMATICS MCQ: INVERSE TRIGONOMETRY

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The value of

\sin ^{-1}(\sin 10)

View answer and explanation

Correct option: B

3 \pi-10

Option B (

3 \pi-10

) is correct because the range of

\sin^{-1}(x)

[-\pi/2, \pi/2]

, and 10 is outside this range. Therefore, we need to find an equivalent angle within this range, which is

3\pi - 10

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