If \( \frac{\cos x}{a}=\frac{\cos (x+\theta)}{b}=\frac{\cos (x+2 \theta)}{c}=\frac{\cos (x+3 \th...

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If \( \frac{\cos x}{a}=\frac{\cos (x+\theta)}{b}=\frac{\cos (x+2 \theta)}{c}=\frac{\cos (x+3 \theta)}{d} \) then \( \frac{a+c}{b+d} \) is equal to
(1) \( \frac{a}{d} \)
(2) \( \frac{c}{b} \)
(3) \( \frac{b}{c} \)
(4) \( \frac{d}{a} \)
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