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Question

Question: The value of \(\cos ^ { - 1 } ( \cos 12 ) - \sin ^ { - 1 } ( \sin 14 )\) is....

The value of cos1(cos12)sin1(sin14)\cos ^ { - 1 } ( \cos 12 ) - \sin ^ { - 1 } ( \sin 14 ) is.

A

– 2

B

8π268 \pi - 26

C

4π+24 \pi + 2

D

None of these

Answer

– 2

Explanation

Solution

cos1(cos12)sin1(sin14)\cos ^ { - 1 } ( \cos 12 ) - \sin ^ { - 1 } ( \sin 14 )1214=212 - 14 = - 2 .