Question

If tan(A+B) =1/7 and tanA=1/3, find tanB

Answer 1

Answer:

tan b= -2/11

Step-by-step explanation:

tan (a+b)=(tan a+tan b)/1-tana tanb

1/7=(1/3+tan b)/1-1/3 × tanb

take tan b =x

1/7=(1/3+x)/1-x/3

(1/7)(1-x/3)=1/3+x

(1/7)((3-x)/3)=(1+3x)/3

(3-x)/7 =1+3x

3-x=7+21x

-22x=4

x= -4/22=tanb