The value of $\frac{\tan 30^{\circ} {cosec}~60^{\circ}+\tan 60^{\circ} \sec 30^{\circ}}{\sin ^2 30^{\circ}+4 \cot ^2 45^{\circ}-\sec ^2 60^{\circ}}$ is:

$\frac{8}{3}$ $\frac{32}{99}$ $\frac{32}{3}$ $\frac{2}{3}$

$\frac{32}{3}$

\(\frac{tan30º .cosec60º + tan60º.sec30º }{sin²30º + 4cot²45º - sec²60º}\) = \(\frac{ 2/3 + 2 }{1/4 + 4 - 4}\) = \(\frac{ 32 }{ 3 }\)