Question

If tan (A+B)= 1/2 and tanA=1/4 find tan B​

Answer 1

Answer:

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

let tanB=x

1/2=1/4+x/1-1/4 x

1/2=1+4x/4-x

2+8x=4-x

9x=2

x=2/9

tanB=2/9