FINITE RECIPROCAL SUMS OF PRODUCTS INVOLVING SQUARES OF SINES OR COSINES WITH ARGUMENTS IN ARITHMETIC PROGRESSION

摘要

In this paper, we present closed forms for certain finite sums. In each case, the denominator of the summand is a product of sine or cosine functions, where at least one of these functions is squared. Furthermore, in each case, the arguments of the trigonometric functions in the denominator of the summand increase in arithmetic progression.