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Question Number 102795 by saorey0202 last updated on 11/Jul/20

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

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