Without using trigonometric tables, find the value of each of the expressions given below: \[ \l...

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Without using trigonometric tables, find the value of each of the expressions given below:
\[
\left\{\frac{\cos 70^{\circ}}{\sin 20^{\circ}}+\frac{\cos 55^{\circ} \operatorname{cosec} 35^{\circ}}{\tan 5^{\circ} \tan 25^{\circ} \tan 45^{\circ} \tan 65^{\circ} \tan 85^{\circ}}\right\}
\]
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