If \( \tan (A-B)=1 \) and \( \sec (A+B)=\frac{2}{\sqrt{3}} \), then the smallest positive values...

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If \( \tan (A-B)=1 \) and \( \sec (A+B)=\frac{2}{\sqrt{3}} \), then the smallest positive values of \( A \) and \( B \), respectively, are
(A) \( \frac{25 \pi}{24}, \frac{19 \pi}{24} \)
(B) \( \frac{31 \pi}{24}, \frac{13 \pi}{24} \)
(C) \( \frac{19 \pi}{24}, \frac{25 \pi}{24} \)
(D) \( \frac{13 \pi}{24}, \frac{31 \pi}{24} \)
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