Closed forms for finite sums of weighted products of the sine and cosine functions

Publication Type:
Journal Article
Fibonacci Quarterly, 2017, 55 (2), pp. 123 - 128
Issue Date:
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In this paper, we present closed forms for eight finite sums of weighted products of the sine/cosine functions. In each finite sum that we define, the number of factors in the summand is governed by the size of the integer parameter j ≥ 1, and can be made as large as we please. As a consequence of one of our main results, it follows that (Equation presented) Here the weight term in the summand is (2 cos 1)1-1.
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