Question

IF Tan (a+b)=1,Tan(a-b)=1/root3 find a and b

Answer 1

Tan (A+B) = 1

Tan 45° = 1

Therefore, A + B = 45° -----(1)

Similarly, Tan (A-B) = 1/√3

Tan 30° = 1/√3

Therefore, A - B = 30° ----(2)

Adding (1) and (2),

2A = 75

A = 37.5°

Therefore, from (1), B = 7.5°

Answer 2

Heya

_______________________________

Tan ( a + b ) = Tan ( 45 )

Becoz Tan ( 45 ) = 1

=>

a + b = 45 ... equation ( i )

=>

Tan ( a - b ) = Tan ( 30 )

Becoz Tan ( 30 ) = 1/√3

=>

a - b = 30... equation ( ii )

Solve both the equations we get

2a = 75

=>

a = 37.5° and b = 7.5°