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Q.

The value of $\sin^{- 1} (\sin 12) + \cos^{- 1} (\cos 12)$ is equal to

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a

$4 π - 24$

b

$24 - 2 π$

c

Zero

d

None of these

answer is A.

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Detailed Solution

$\sin^{- 1} (\sin 12) + \cos^{- 1} (\cos 12) = \sin^{- 1} {\sin (12 - 4 π)} + \cos^{- 1} {\cos (4 π - 12)} = 12 - 4 π + 4 π - 12 = 0$

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