If $A$ and $B$ are values such that $(A+B)$ and $(A-B)$ are not odd multiples of $\frac{\pi}{2}$ and $2 \tan (A+B)=3 \tan (A-B)$,then $\sin 2A$ is equal to:

  • A
    $5 \sin 2B$
  • B
    $5 \sin B \cos B$
  • C
    $5 \tan B$
  • D
    $5 \sin 2B / 2$

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