The principal value of $\sin ^{-1}(-\sqrt{3} / 2)+\cos ^{-1} \cos (7 \pi / 6)$ is

JEE MATHEMATICS MCQ: INVERSE TRIGONOMETRY

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Application +4 | -1

The principal value of

\sin ^{-1}(-\sqrt{3} / 2)+\cos ^{-1} \cos (7 \pi / 6)

View answer and explanation

Correct option: B

\pi / 2

Option B (

\pi / 2

) is correct because

\sin^{-1}(-\sqrt{3} / 2) = -\pi / 3

and

\cos^{-1}(\cos(7\pi / 6)) = 5\pi / 6

, and their sum is

\pi / 2

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