A) \[{{\cos }^{-1}}\left( \frac{1}{3} \right)\]
B) \[{{\cos }^{-1}}\left( \frac{1}{6} \right)\]
C) \[{{\sin }^{-1}}\left( \frac{1}{6} \right)\]
D) \[{{\sin }^{-1}}\left( \frac{1}{3} \right)\]
Correct Answer: D
Solution :
If the included angle is \[\theta ,\] then \[\frac{1}{2}\times 6\times 12\times \sin \theta =12\] or \[\sin \theta =\frac{1}{3}\] or \[\theta ={{\sin }^{-1}}\left( \frac{1}{3} \right)\]
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