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If sin (A – B) = 1/2 and cos (A + B) = 1/2 , 0° ≤ (A + B) ≤ 90° and A > B, then find A and B |
Answer» Here, sin (A – B) = 1/2 ⇒ sin (A – B) = 30° [∵ sin 30° = 1/2 ] ⇒ (A – B) = 30° …….(i) Also, cos (A + B) = 1/2 ⇒ cos (A + B) = cos 60° [∵ cos 60° = 1/2 ] ⇒ A + B = 60° ….(ii) Solving (i) and (ii), we get: A = 45° and B = 15° |
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