The value of \({\rm{cos}}\frac{\pi }{{{2^2}}}\cdot{\rm{cos}}\frac{\pi }{{{2^3}}}\cdot \ldots \cdot{\rm{cos}}\frac{\pi }{{{2^{10}}}}\cdot{\rm{sin}}\frac{\pi }{{{2^{10}}}}\) is:

The value of \({\rm{cos}}\frac{\pi }{{{2^2}}}\cdot{\rm{cos}}\frac{\pi

1.	The value of \({\rm{cos}}\frac{\pi }{{{2^2}}}\cdot{\rm{cos}}\frac{\pi }{{{2^3}}}\cdot \ldots \cdot{\rm{cos}}\frac{\pi }{{{2^{10}}}}\cdot{\rm{sin}}\frac{\pi }{{{2^{10}}}}\) is:
A.	\(\frac{1}{{512}}\)
B.	\(\frac{1}{{1024}}\)
C.	\(\frac{1}{{256}}\)
D.	\(\frac{1}{2}\)
Answer» B. \(\frac{1}{{1024}}\)