Discussion
If \(\sin(A - B) = 1/2\) and \(\cos(A + B) = 1/2\), the value of B is:
Answer: A
From the given information:
1) \(\sin(A - B) = 1/2 \Rightarrow A - B = 30°\)
2) \(\cos(A + B) = 1/2 \Rightarrow A + B = 60°\)
We have two equations. To find B, subtract the first equation from the second:
(A + B) - (A - B) = 60° - 30°
2B = 30°
B = 15°.
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