Question

Sin (A-B) = 1/2
cos (A + B) = 1/2
Find A & B
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Answer 1

Answer:

A = 45° and B = 15°

Step-by-step explanation:

Sin (A-B) = 1/2

We know that Sin 30° = 1/2

A - B = 30° ------eq 1

Cos (A+B) = 1/2

We know that Cos 60° = 1/2

A + B = 60° -------eq 2

A - B = 30°

A + B = 60°

On adding both equations, we get,

2A = 90°

A = 45°

Substituting value of A in eq 1, we get,

45° - B = 30°

B = 15°

Answer 2

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