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If $$A = 30^{\circ}$$, what is the value of $$\frac{8 \sin A + 11 \cosec A - \cot^{2} A}{10\cos 2A}$$?
$$5\frac{1}{5}$$
$$4\frac{3}{5}$$
$$4\frac{2}{5}$$
$$3\frac{4}{5}$$
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