Question

prove that,tan315°×cot(-405)+cot(495)tan(-585°)=2​

Answer 1

Step-by-step explanation:

L.H.S

tan315×cot(-405)+cot(495)tan(-585)

tan315×-cot405+cot495×-tan585

tan315×-cot(360+45)+cot495×-cot(360+225)

tan315×-cot45+cot495×-cot225

tan(360-45)×-cot45+cot(360+135)×-cot(180+45)

-tan45×-1/tan45×-cot45+cot135×-cot45

1×-cot45+cot(90+45)×-1

-1-tan45×-1

-1-1×-1

-2×-1

2