If $(1 + \sin A)(1 + \sin B)(1 + \sin C) = (1 - \sin A)(1 - \sin B)(1 - \sin C)$,then each side is equal to

  • A
    $\pm \sin A \sin B \sin C$
  • B
    $\pm \cos A \cos B \cos C$
  • C
    $\pm \sin A \cos B \cos C$
  • D
    $\pm \cos A \sin B \sin C$

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