Question

Find A and B if tan (A – B) = 1 and cot (A + B) = 1/root 3 where A and B are acute angles.

Answer 1

Step-by-step explanation:

tan(A-B)=1

tan(A-B)=tan45

(A-B)=45--------------(1)

cot(A+B)=1/√3

cot(A+B)=cot30

A+B=30-----------(2)

addin equation 1 n2 we get

2A=75

A=37.5

B=52.5