A dip circle is initially in the magnetic meridian. If it is now rotated through an angle \( \th...

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A dip circle is initially in the magnetic meridian. If it is now rotated through an angle \( \theta \) in the horizontal plane, then the tangent of the new angle of dip \( \phi^{\prime} \) is increased in the ratio (let \( \phi \) be true angle of dip)
(A) \( \frac{\tan \phi^{\prime}}{\tan \phi^{\prime}}=\frac{1}{\sin \theta} \)
(B) \( \frac{\tan \phi^{\prime}}{\tan \phi}=\frac{1}{\tan \theta} \)
(C) \( \frac{\tan \phi^{\prime}}{\tan \phi^{\prime}}=\frac{1}{\cos \theta} \)
(D) \( \frac{\tan \phi^{\prime}}{\tan \phi^{\prime}}=\frac{1}{\cot \theta} \)
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