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A=cos(13π20)+cos(21π20)+cos(29π20)+cos(37π20)A=\cos\left(\frac{13\pi}{20}\right) +\cos\left(\frac{21\pi}{20}\right) +\cos\left(\frac{29\pi}{20}\right) +\cos\left(\frac{37\pi}{20}\right) A=cos(2013π)+cos(2021π)+cos(2029π)+cos(2037π)
Find the value of ⌊1000A⌋\lfloor 1000A \rfloor⌊1000A⌋.
Notation: ⌊⋅⌋ \lfloor \cdot \rfloor ⌊⋅⌋ denotes the floor function.
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