Math Marathon Warmup

Geometry Level 3

\[ 10^{2^2} \sin(10^{\circ})\cos(2\cdot 10^{\circ})\sin(3\cdot 10^{\circ})\cos(4\cdot 10^{\circ}) = \, ? \]


The Math Marathon (MM) has begun and with it a question from around the math world! And just to get started, and here's the warmup question.
Stay tuned for more updates posted every few days!
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