Question

If tan A=5/6 and tan B=1/11 then show that A+B=π/4.​

Answer 1

Answer:

tan(A+B) = (tanA+ tanB)/(1-tanA tanB)

tan(A+B) ={ 5/6 + 1/11 } / { 1- 5/6×1/11 }

= (55+6/66 ) / (66-5/66)

= 61/61 = 1

tan(A+B) = 1

(A+B) = tan^-1(1) = pi/4