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Question: The principal value of \(\sin ^ { - 1 } \left( - \frac { 1 } { 2 } \right)\)is....

The principal value of sin⁡−1(−12)\sin ^ { - 1 } \left( - \frac { 1 } { 2 } \right)is.

A

π3\frac { \pi } { 3 }

B

π6\frac { \pi } { 6 }

C

−π3- \frac { \pi } { 3 }

D

−π6- \frac { \pi } { 6 }

Answer

−π6- \frac { \pi } { 6 }

Explanation

Solution

The principal value of =−π6= - \frac { \pi } { 6 }.