Which of the following statements is correct about the solution set of the system of equations \....

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Which of the following statements is correct about the
\( \mathrm{P} \)
solution set of the system of equations \( x+y=2 \pi / 3 \) and \( \cos x+\cos y=3 / 2 \), where \( x \) and \( y \) are real?
(1) Solutions is: \( n \pi+(-1)^{n} \sin ^{-1} \frac{3}{2}+\frac{\pi}{6} \)
(2) Solution is: \( 2 n \pi \pm \cos ^{-1} \frac{3}{2}-\frac{\pi}{6} \)
(3) There is no solution
(4) None of these


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