If $0 <  x , y < \pi$ and $\cos x +\cos y-\cos ( x + y )=\frac{3}{2},$ then $\sin x+\cos y$ is equal to ...... .

  • [JEE MAIN 2021]
  • A

    $\frac{1}{2}$

  • B

    $\frac{1+\sqrt{3}}{2}$

  • C

    $\frac{\sqrt{3}}{2}$

  • D

    $\frac{1-\sqrt{3}}{2}$

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