Question

0. (i) If tan (A - B) =
1
and tan (A + B) = 13,0° < A + B < 90°, A > B find A and B
13
INC​

Answer 1

Answer:

B=7.5°

Explanation:

tan(A+B)=1 ⇒ A+B=45°

tan(A-B)=1/√3 ⇒ A-B=30°

A+B=45°........(1)

A-B=30°..........(2)

Adding (1) and (2)

2A=75°

A=37.5°

put A=37.5° in (1) we get

B=45° - 37.5°

B=7.5°