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prove-that-1-1-cosx-2-n-1-n-1-n-1-cos-nx-for-x-kpi-k-Z-

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Question Number 33985 by abdo imad last updated on 28/Apr/18
prove that (1/(1+cosx)) =2Σ_(n=1) ^∞ n(−1)^(n−1) cos(nx) for x≠kπ ,k∈ Z .
provethat11+cosx=2∑n=1∞n(−1)n−1cos(nx)forx≠kπ,k∈Z.

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