Question

If tan(a+b)=✓3 and tan(a-b) =1/✓3; b then find the value of a and b

Answer 1

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)

Using Substition Method
By equation (1)-
a = 60-b

Putting the value of a in equation(2)
a-b = 30
60-b-b = 30
2b = 30
b = 15

Putting the value of b in equation(1)
a+15 = 60
a = 60-15
a = 45

A = 45 and B = 15