Question

If tan( A+B ) = √3 and tan (A – B) = 1/√3 such that 00 < A+B <900, A>B
Find the value of 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)

NOW USING LINEAR EQUATION : add the 2 equations

a+b+a-b = 60+30

2a = 90

a = 45

45+b = 60; b = 15