Without using trigonometric tables, find the value of each of the expressions given below: Show ...

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Without using trigonometric tables, find the value of each of the expressions given below:
Show that: \( \frac{\cos ^{2}\left(45^{\circ}+\theta\right)+\cos ^{2}\left(45^{\circ}-\theta\right)}{\tan \left(60^{\circ}+\theta\right) \tan \left(30^{\circ}-\theta\right)}=1 \).
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