A) \[10\pi /3\]
B) \[0\]
C) \[\pi /2\]
D) \[5\pi /3\]
Correct Answer: C
Solution :
\[{{\cos }^{-1}}\left( \cos \frac{5\pi }{3} \right)+{{\sin }^{-1}}\left( \cos \frac{5\pi }{3} \right)\] \[=\frac{5\pi }{3}+{{\sin }^{-1}}\left[ \sin \left( \frac{\pi }{2}-\frac{5\pi }{3} \right) \right]\] \[=\frac{5\pi }{3}+\frac{\pi }{2}-\frac{5\pi }{3}=\frac{\pi }{2}\]You need to login to perform this action.
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