Chebyshev Polynomial Practice: Product

Algebra Level 3

Evaluate

\(\cos(10^{\circ})\cos(20^{\circ})\cos(30^{\circ})\cos(40^{\circ})\cos(50^{\circ})\cos(60^{\circ})\cos(70^{\circ})\cos(80^{\circ})\)

If the answer can be expressed as \(\dfrac{a}{b}\)

Find \(a+b\)

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