Question

If tan(A + B) = 1, and cos(A-B) =√3/2.0º < A+B < 90° and A >B; find A and B.
​

Answer 1

Answer:

B = 7.5°

Step-by-step explanation:

tan(A + B) = 1

tan(A + B) = tan 45

A + B = 45° ----- 1

cos(A - B) = √3

2

cos(A - B) = cos 30°

A - B = 30° ----- 2

A = 30° + B ---- 3

Putting value of A in equation 1

30° + B + B = 45°

30° + 2B = 45°

2B = 45° - 30°

2B = 15

B = 15°

2

B = 7.5°

Hope it helps you....