Question

If tan (a+b)=√3and tan(a-b)=1/√3,0 less than or equal to A+B less than or equal to90°,Agreater than B,find A and B

Answer 1

Answer:

A = 45°    B = 15°

Step-by-step explanation:

Tan (A+B) = √3

Tan (A+B) = Tan 60°

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

Tan (A-B) = 1/√3

Tan (A-B) = Tan 30°

A - B = 30°                   --- (2)

Adding (1) and (2)

2A = 90°

A = 45°

B = 15°