Can We Cancel Those Zeroes?

Geometry Level 3

sin20sin40sin60sin80sin10sin30sin50sin70=?\large \dfrac{\sin 20^\circ \sin 40^\circ \sin 60 ^\circ\sin 80^\circ}{\sin 10^\circ \sin 30^\circ \sin 50 ^\circ\sin 70^\circ} = \, ?

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