On certain q-trigonometric identities
Abstract
Finding theta function (or q-)analogues for well-known trigonometric identities is an interesting topic. In this paper, we first introduce the definition of q-analogues for tanz and cotz and then apply the theory of elliptic functions to establish a theta function identity. From this identity we deduce two q-trigonometric identities involving tanqz and qz, which are theta function analogues for two well-known trigonometric identities concerning tanz and z. Some other q-trigonometric identities are also given.
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