If $12{\cot ^2}\theta - 31\,{\rm{cosec }}\theta + {\rm{32}} = {\rm{0}}$, then the value of $\sin \theta $ is
If $12{\cot ^2}\theta - 31\,{\rm{cosec }}\theta + {\rm{32}} = {\rm{0}}$, then the value of $\sin \theta $ is
- A
$\frac{3}{5}$ or $1$
- B
$\frac{{2}}{3}$ or $\frac{{ - 2}}{3}$
- C
$\frac{4}{5}$ or $\frac{3}{4}$
- D
$ \pm \frac{1}{2}$
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