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

Points D, E are taken on the side B C

of a △ A B C, such that B D = D E = E C .

If ∠ B A D = x, ∠ D A E = y, ∠ E A C = z,

then the value of \frac{\sin (x + y) \sin (y + z)}{\sin x \sin z}

is equal to