Question

If Tan (A + B) = √3 and Tan (A - B) = 1 find the angles A and B​

Solve it fast!!

urgent!!

Answer 1

AnswEr :

Given,

tan(A + B) = √3

$\longrightarrow$ tan(A + B) = tan(60)

$\longrightarrow$ A + B = 60°_______(1)

Similarly,

tan(A - B) = 1

$\longrightarrow$ tan(A - B) = tan(45)

$\longrightarrow$ A - B = 45_________(2)

Adding equations (1) and (2), we get :

$\implies$ 2A = 105

$\implies$ A = 105/2

Putting the value of A in (1),

$\implies$ B = 60 - 105/2

$\implies$ B = (120 - 105)/2

$\implies$ B = 15/2

Thus, the values of A and B are 105/2 and 15/2 respectively.