## Problem of the Day #398: Sine Sum
*April 20, 2012*

*Posted by Saketh in : potd , trackback*

Suppose that $M$ is the centroid of triangle $ABC$. Suppose further that the circumcircle of triangle $AMC$ is tangent to line $AB$. Determine the maximum possible value of $$\sin\angle CAM + \sin\angle CBM$$

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