tan585× cot495- cot405×tan495
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Step-by-step explanation:
tan585= tan(3π+45)°
= -tan45°
cot495=cot(3π-45)°
=-cot45°
tan495=tan45
cot405=cot(2π+45)°
= cot45°
So,
tan585 × cot495 - cot405×tan495
= -tan45×-cot45 - cot45×tan45
=1-1=0
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