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10

Part of 1996 Canadian Open Math Challenge

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1/27/2006
Determine the sum of angles A,B,A,B, where 0∘≤A,B,≤180∘0^\circ \leq A,B, \leq 180^\circ and sin⁡A+sin⁡B=32,cos⁡A+cos⁡B=12 \sin A + \sin B = \sqrt{\frac{3}{2}}, \cos A + \cos B = \sqrt{\frac{1}{2}}
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