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2010 AMC 12B Question 13

AMC12 · 2010 AMC 12B

Question 13

In $\triangle ABC,$ $\cos(2A-B)+\sin(A+B)=2$ and $AB=4.$ What is $BC?$
  1. $\sqrt{2}$
  2. $\sqrt{3}$
  3. $2$
  4. $2\sqrt{2}$
  5. $2\sqrt{3}$