Question

√2cos ( A - B) = 1, 2 sin ( A + B) = √3. A,B are acute angles. FIND A AND B.​

Answer 1

A. 52.5°

B. 7.5°

Explanation:

√2cos ( A - B) = 1

cos(A - B) = 1/√2

cos(A - B) = √2/2

A - B = 45°

2 sin ( A + B) = √3

sin (A + B) = √3/2

A + B = 60°

A - B = 45

A + B = 60

2A = 105

A = 52.5°

B = 60 - 52.5 = 7.5°