Question

if tan (A+B ) = root 3 and tan ( A-B ) = 1/under root 3 , then find the value of A and B​

Answer 1

tan(A+B) =√3

or tan(A+B) =tan60°

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

Now, tan(A-B) =1/√3

or tan(A-B) =tan30°

or (A-B) =30°------(2)

On solving (1) and (2) equation we get,

=2A=90°

or A=45° and B=15°