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Question

The principal value of cos1(sin7π6)

A
5π3
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B
π3
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C
π3
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D
7π3
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Solution

The correct option is C π3
cos1(sin7π6)=cos1(sin(π+π6))=cos1(sin(π6))=cos1(cos(π3))=π3 (cos1(cosx)=x, x[0,π])

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