Question

If tan A=5/6 and Tan B =1/11 show that A+B =180/4

Answer 1

Step-by-step explanation:

tan A=5/6

tan B =1/11

A+B=180/4

By taking tan

Tan(A+B) = Tan (180/4)

=> Tan(90°/2) = Tan45° = 1

L.H.S

Tan(A+B) = TanA + TanB/ 1 - TanATanB

               = 5/6 + 1/11 /  1 - 5/6*1/11

               = 61/66 / 61/66

               = 1

               = R.H.S

Hence Proved.