Trigonometry! #11

Geometry Level 4

Points DD and EE are taken on the side BCBC of ΔABC\Delta ABC such that BD=DE=ECBD=DE=EC. If BAD=x\angle BAD = x, DAE=y\angle DAE = y, EAC=z\angle EAC = z, then the value of sin(x+y)sin(y+z)sinxsinz \frac {\sin (x+y) \sin (y+z)}{\sin x \sin z} is

This problem is part of the set Trigonometry.

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