If cos(A + B) = 0 and sin(A – B) = 0, then what is the value of angle A and angle B? (0 degree

Question

If cos(A + B) = 0 and sin(A – B) = 0, then what is the value of angle A and angle B? (0 degree < A, B ≤ 90 degree)

Accepted Answer

45 degree, 45 degree. cos(A+B)=0 means A+B=90°. sin(A–B)=0 means A–B=0°, so A=B. From A+A=90°, we get A=B=45°.

If cos(A + B) = 0 and sin(A – B) = 0, then what is the value of angle A and angle B? (0 degree < A, B ≤ 90 degree)