# A geometry problem by U Z

Geometry Level 1

triangle ABC is inscribed in a unit circle. The 3 bisectors of angles A,B and C are extended to intersect the circle at $$A_{1} , B_{1} and C_{1}$$ respectively

then the value of $$\frac{AA_{1}cos(A/2) + BB_{1}cos(B/2) +CC_{1}cos(C/2)}{sinA + sinB + sinC}$$

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