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The principle value of $\cos^{- 1} (- \sin \frac{7 π}{6})$ ,is

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5π3

7π6

π3

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detailed solution

Correct option is C

We have,cos−1⁡−sin⁡7π6=cos−1⁡−sin⁡π+π6=cos−1⁡sin⁡π6=π2−sin−1⁡sin⁡π6=π2−π6=π3

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The principle value of cos−1⁡−sin⁡7π6,is

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The principle value of $\cos^{- 1} (- \sin \frac{7 π}{6})$ ,is