Question

plz tell me this answer ​

Answer 1

Answer:

given that : tan A+ B = root 3 and A-B = 1/root 3

proof :

we know that,

tan 60 = root 3

thus,

tan ( A+B)= tan 60

therefore ,

A + B = 60 ------------ (1)

tan A-B = 1/ root 3

but we know that,

tan 30 = 1/ root 3

thus,

tan A-B = 30

therefore,

A-B =30 ------------(2)

our equations are,

A+B=60 ---------------(1)

A-B=30 ---------------(2)

adding equ (1) and (2) we get,

A+B+A-B = 60+30

2A= 90

A= 90/2

therefore : A=45

putting A = 45 in equation in equ (1) ,

A+ B =60

45+B =60

B = 60-45

B = 15

hence,

A = 45

B = 15

hope this helps you....