Math, asked by vijay2666, 10 months ago

tan585× cot495- cot405×tan495

Answers

Answered by vjkochar

3

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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