A) \[\pi \]
B) \[-\pi \]
C) \[\frac{\pi }{2}\]
D) None of these
Correct Answer: B
Solution :
\[{{\cos }^{-1}}x+{{\cos }^{-1}}y=2\pi \] \[\Rightarrow \frac{\pi }{2}-{{\sin }^{-1}}x+\frac{\pi }{2}-{{\sin }^{-1}}y=2\pi \] \[\Rightarrow \pi -({{\sin }^{-1}}x+{{\sin }^{-1}}y)=2\pi \] \[\Rightarrow {{\sin }^{-1}}x+{{\sin }^{-1}}y=-\pi \]
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