Question

If tan (A + B) =√3 and tan (A – B) =1/√3,0° < A + B ≤ 90°; A > B, find A and B.

Answer 1

Answer:

A = 45 degree and B = 15 degree

Answer 2

Answer:

PLEASE MARK IT AS BRAINLIEST

Step-by-step explanation:

tan(a+b) = root3

tan(a-b)= 1/root3

We know tan 60 = root 3 and tan 30 = 1/root3

So, a+b = 60, a-b = 30

Adding the two gives

a+a+b-b=60+30

2a=90

a = 45

a+b=60

45+b=60

b=15