If $x = \sin {130^o}\,\cos {80^o},\,\,y = \sin \,{80^o}\,\cos \,{130^o},\,\,z = 1 + xy,$which one of the following is true

  • A

    $x > 0,\,\,y > 0,\,\,z > 0$

  • B

    $x > 0,\,\,y < 0,\,\,0 < z < 1$

  • C

    $x > 0,\,\,y < 0,\,\,z > 1$

  • D

    $x < 0,\,\,y < 0,\,0 < z < 1$

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