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

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Without using trigonometric tables, find the value of each of the expressions given below:
\[
\frac{\sec \left(90^{\circ}-\theta\right) \operatorname{cosec} \theta-\tan \left(90^{\circ}-\theta\right) \cot \theta+\cos ^{2} 25^{\circ}+\cos ^{2} 65^{\circ}}{3 \tan 27^{\circ} \tan 63^{\circ}}
\]
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