Question

If sin(A+B)=1|√2 and cos(A-B)=1|√2 then angle B =​

Answer 1

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Answer 2

Question

If sin(A+B) = 1/2 and cos(A-B) = 1/2 then angle B =

Step-by-step explanation:

sin (A + B) = sin 30° and cos (A - B) = cos 60°

A + B = 30° and A - B = 60°

A + B = 30°

A - B = 60°

____________

2A = 90°

A = 90°/2 = 45°

45° + B = 90°

B =90° - 45°

B = 45°