A blend of trigonometry and logarithms

Geometry Level 2

\[ { e }^{ \log _{ 10 }{ \tan 1^\circ } }\times { e }^{ \log _{ 10 }{ \tan 2^\circ } } \times \ldots \times { e }^{ \log _{ 10 }{ \tan 89^\circ } } \]

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