Without using trigonometric tables, find the value of each of the expressions given below: \( \c...
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Without using trigonometric tables, find the value of each of the expressions given below:
\( \cot \theta \tan \left(90^{\circ}-\theta\right)-\sec \left(90^{\circ}-\theta\right) \operatorname{cosec} \theta+\sin ^{2} 65^{\circ}+\sin ^{2} 25^{\circ} \)
\( +\sqrt{3} \tan 5^{\circ} \tan 45^{\circ} \tan 85^{\circ} \)
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