Prove that
\[
\cot A+\tan \left(180^{\circ}+A\right)+\tan \left(90^{\circ}+A\right)+\tan \left(3...
Prove that
\[
\cot A+\tan \left(180^{\circ}+A\right)+\tan \left(90^{\circ}+A\right)+\tan \left(360^{\circ}-A\right)=0
\]
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