tan225 cot405 + tan765 cot675=0
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tan (180+45)cot (360+45)+tan (2×360+45)cot (2×360-45)
=tan45cot45+tan45cot (-45)
tan45=1,cot=1
=tan45cot45-tan45cot45
=0
proved
=tan45cot45+tan45cot (-45)
tan45=1,cot=1
=tan45cot45-tan45cot45
=0
proved
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