The function \( f(\theta)=\frac{d}{d \theta} \int_{0}^{\theta} \frac{d x}{1-\cos \theta \cos x} ...

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The function \( f(\theta)=\frac{d}{d \theta} \int_{0}^{\theta} \frac{d x}{1-\cos \theta \cos x} \) satisfies the dif-
ferential equation
(A) \( \frac{d f}{d \theta}+2 f(\theta) \cot \theta=0 \)
(B) \( \frac{d f}{d \theta}-2 f(\theta) \cot \theta=0 \)
(C) \( \frac{d f}{d \theta}+2 f(\theta)=0 \)
(D) \( \frac{d f}{d \theta}-2 f(\theta)=0 \)
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