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给出一类正余弦三角函数方幂无限和:∑(k=0)∞cos(2r+1)kθ/mk,∑(k=0)∞(-1)kcos(2r+1)kθ/mk和∑(k=1)∞(-1)(k+1)sin2rkθ/k2;∑(k=1)∞sin(2r+1)kθ/k,∑(k=1)∞sin2r+2kθ/k2计算公式。
Given a class of positive and negative trigonometric trigonometric power of infinite sum: Σ (k = 0) ∞cos (2r + 1) kθ / mk, Σ (k = 0) ∞ (-1) kcos (2r + 1) kθ / mk (K = 1) ∞ sin (2r + 1) kθ / k, Σ (k = 1) ∞sin2r + 2kθ / k2 Calculation formula.