If \( \mathrm{P}=\left(\tan \left(3^{\mathrm{n}+1} \theta\right)-\t...

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If \( \mathrm{P}=\left(\tan \left(3^{\mathrm{n}+1} \theta\right)-\tan \theta\right) \) and \( \mathrm{Q}=\sum_{\mathrm{r}=0}^{\mathrm{n}} \frac{\sin \left(3^{\mathrm{r}} \theta\right)}{\cos \left(3^{\mathrm{r}+1} \theta\right)} \), then
PV
(A) \( P=2 Q \)
(B) \( P=3 Q \)
(C) \( 2 \mathrm{P}=\mathrm{Q} \)
(D) \( 3 \mathrm{P}=\mathrm{Q} \)
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