Question

tanA=5/6, tanB =1/11 prove that A+B =π/4​

Answer 1

Step-by-step explanation:

A+B =π/4

on multiplying bothside by tan

tan(A+B)= tan π/4

(tanA+tanB)/1-tanA•tanB = tan45

(5/6+1/11) / (1-5/6•1/11 )= 1

(55+6)/66 / (1-5/66)= 1

(61/66)/{(66-5)/66}=1

(61/66)/ (61/66)=1

61/66 • 66/61=1

1=1

#666