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Q.

The principal value of $\sin^{- 1} \{\sin \frac{5 π}{6}\}$ is

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a

$\frac{π}{6}$

b

$\frac{5 π}{6}$

c

$\frac{7 π}{6}$

d

$\frac{11 π}{6}$

answer is A.

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Detailed Solution

The principal value of $\sin^{- 1} \{\sin \frac{5 π}{6}\}$ is

$\sin^{- 1} (\sin \frac{5 π}{6}) = \sin^{- 1} \{\sin \frac{π}{6}\} = \frac{π}{6}$

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The principal value of sin−1sin5π6 is