# Trigonometry! #11

Geometry Level 4

Points $D$ and $E$ are taken on the side $BC$ of $\Delta ABC$ such that $BD=DE=EC$. If $\angle BAD = x$, $\angle DAE = y$, $\angle EAC = z$, then the value of $\frac {\sin (x+y) \sin (y+z)}{\sin x \sin z}$ is

This problem is part of the set Trigonometry.

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