Question

If tan (A+B) = 3 and tan (A-B) = 7:0° <A+B 390°:A>B. find A and B.​

Answer 1

Step-by-step explanation:

Given,

tan (A+B) = 3

tan (A-B) = 7

(Since tan , tan cancel...,)

let,

A+B = 3 .......... (1)

A-B = 7 ........... (2)

By solving equation (1) and (2),

A+B = 3

A-B = 7

______

2A = 10

(Since +B and -B is cancel...,)

A = 10/2

A=5

:. A = 5

Substitute 'A' value in equation (1),

A+B = 3

5+B = 3

B = 3-5

B = -2

:. B = -2

Therefore A = 5, B = -2.