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

  • A

    $1$

  • B

    $-1$

  • C

    $0$

  • D

    $a$ or $b$ both

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