If $\sin \left(\frac{\pi}{4} \cot \theta\right)=\cos \left(\frac{\pi}{4} \tan \theta\right)$, then the general solution of $\theta$ is
- A$n \pi+\frac{\pi}{4}, n \in \mathbb{Z}$
- B$\quad n \pi+(-1)^n \frac{\pi}{6}, n \in \mathbb{Z}$
- C$2 \mathrm{n} \pi \pm \frac{\pi}{4}, \mathrm{n} \in \mathbb{Z}$
- D$\quad 2 \mathrm{n} \pi \pm 3 \frac{\pi}{4}, \mathrm{n} \in \mathbb{Z}$
✓ Correct answer: A
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