Question

If tan(A − B) = √3,tan(A − B) = 1 √3 , 0 0 < A + B ≤ 900 ,A > B, then find A and B.

Answer 1

I am not sure about answer but i am trying it

Tan ( A-B)=root 3

Tan90-30 equal to root 3

Tan 90 -45 =1

Answer 2

Tan(A-B) = √3

Tan60° = √3

∴A-B = 60°----------------(1)

Tan(A+B) = 1/√3

Tan30° = 1/√3

∴A+B = 1/√3------------(2)

Add eq 1 and 2

A+B+A-B = 60+30

2A = 90

A = 45°