Without using trigonometric tables, find the value of the following:
\[
-\frac{\sin ^{2} 20^{\ci...
Without using trigonometric tables, find the value of the following:
\[
-\frac{\sin ^{2} 20^{\circ}+\sin ^{2} 70^{\circ}}{\cos ^{2} 20^{\circ}+\cos ^{2} 70^{\circ}}+\frac{\sin \theta}{\tan \theta \sec \theta}+\frac{\cos \theta}{\cot \theta \operatorname{cosec} \theta}
\]
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