If A+B=135º, Then
(1-tan A)(1-tan B) =
Answers
Answered by
4
Answer:
2
Step-by-step explanation:
A+B = 135
Tan(A+B) = Tan 135
// But Tan(A+B) = TanA + TanB / 1 - TanA TanB;
//Tan 135 = Tan(90+45) = - Cot45 = -1
TanA + TanB / 1 - TanA TanB = - 1
TanA + TanB = - 1 + TanATanB
TanATanB - TanA - TanB = 1
/Add one on both sides.
TanATanB - TanA - TanB + 1 = 1 +1
(1 - TanB) - TanA(1 - TanB) = 2
(1 - TanB) ( 1 - TanA) = 2
Similar questions