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The value of $$\cos 10^\circ \cos 30^\circ \cos 50^\circ \cos 70^\circ \cos 90^\circ$$ is:
$$cos10^{0}cos30^{0}cos50^{0}cos70^{0}cos90^{0}$$
= $$cos10^{0}cos30^{0}cos50^{0}cos70^{0}\times 0$$
($$\because cos90^{0} = 0$$)
= 0
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