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An imaginary sum of a cosine and a sine beside powers of the secant, over the cosine - #1846
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Rafael-SOWNet merged 3 commits intoOct 11, 2026
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…over the cosine Part of #718. Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_012sonx8iAspMiwRwokT1Ura
…-and-sine-sum-over-the-cosine
Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_012sonx8iAspMiwRwokT1Ura
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Part of #718.
A cos(y) ± i A sin(y)below the bar, with only cosines and secants ofybeside it, is writtenA cos(y) (1 ± i tan(y)). A power of the secant over a power of1 ± i tan(y)is a shape thea + i a tanrules already answer.Sizes in characters, measured on 2.5.0, on master 180301c, and on this branch:
sec^6/(a cos + i a sin)sec^5/(a cos + i a sin)^2sec^4/(a cos + i a sin)^3sec^6/(a cos + i a sin)^3sec^4/(a cos + i a sin)sec^2/(a cos + i a sin)^3The Rubi corpus was run against 3c86dda as the base. Four rows in 4.7.2 (196, 208, 219, 221) go from unsolved to solved, and no row is wrong. Every other family is identical. The allocation gate passes. After merging master, the suite passes 15,197 tests, and the calculus tests pass 4,468.
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https://claude.ai/code/session_012sonx8iAspMiwRwokT1Ura