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We propose a quintessence model with a cosine-type potential, in which the scalar field φa possesses an O(N)inteal symmetry. The most prominent feature of this model is that it will not reduce to a cosmological constant will lead to different cosmic microwave background anisotropies, which may be detectable in future satellite experiments, one can decide by observations whether the cosine-type quintessence consists of one scalar field or many fields with a symmetry constraint.