A dip needle lies initially in the magnetic meridian when it shows an angle of dip $\theta $ at a place. The dip circle is rotated through an angle $x$ in the horizontal plane and then it shows an angle of dip $\theta '$. Then $\frac{{\tan \theta '}}{{\tan \theta }}$ is

  • A

    $\frac{1}{{\cos x}}$

  • B

    $\frac{1}{{\sin x}}$

  • C

    $\frac{1}{{\tan x}}$

  • D

    $\cos x$

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