Question
Without using trigonometric tables, evaluate.
$4 \tan 60 \sec 30+\frac{\sin 31^{\circ} \sec 59^{\circ}+\cot 59^{\circ} \cot 31^{\circ}}{8 \sin ^2 30^{\circ}-\tan ^2 45^{\circ}}$
$4 \tan 60 \sec 30+\frac{\sin 31^{\circ} \sec 59^{\circ}+\cot 59^{\circ} \cot 31^{\circ}}{8 \sin ^2 30^{\circ}-\tan ^2 45^{\circ}}$