Without using trigonometric tables, find the value of each of the expressions given below: \[ \s...
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0Without using trigonometric tables, find the value of each of the expressions given below:
\[
\sin \left(50^{\circ}+\theta\right)-\cos \left(40^{\circ}-\theta\right)+\tan 1^{\circ} \tan 10^{\circ} \tan 20^{\circ} \tan 70^{\circ} \tan 80^{\circ} \tan 89^{\circ}
\]
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