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The principal values of `cost^(-1)(-sin(7pi)/(6))` is

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The principal values of `cost^(-1)(-sin(7pi)/(6))` is
A. `(5pi)/(3)`
B. `(7pi)/(6)`
C. `(pi)/(3)`
D. none of these
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1 Answer

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Correct Answer - C
`cos^(-1)(-sin.(7pi)/(6))=cos^(-1)(-sin(pi+(pi)/(6)))`
`=cos^(-1)(sin.(pi)/(6))`
`=cos^(-1)((1)/(2))=(pi)/(3)`
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