If $\cos {40^o} = x$ and $\cos \theta = 1 - 2{x^2}$, then the possible values of $\theta $ lying between ${0^o}$ and ${360^o}$is

  • A

    ${100^o}$ and ${260^o}$

  • B

    ${80^o}$ and ${280^o}$

  • C

    ${280^o}$ and ${110^o}$

  • D

    ${110^o}$ and ${260^o}$

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