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A cosecant of a double argument beside the argument is written as a product - #1856
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Rafael-SOWNet merged 3 commits intoOct 12, 2026
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…gument Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_012sonx8iAspMiwRwokT1Ura
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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.
csc(2x) ln(tan(x)), Rubi's 4.7.7, was declined.SolveByWritingASineOfADoubleArgumentAsAProductwritessin(2A)as2 sin(A) cos(A)beside functions ofA, and it declined as soon as any other function of2Awas present. The cosecant is1/(2 sin(A) cos(A)), which is one product too, so the rule now writes it that way. That leavesln(tan(x))beside its derivative.csc(2*x)*ln(tan(x))1/2 * ln(tan(x)) ^ 2 / 2, 28 characterscsc(2*x)*ln(tan(x))^2csc(2*x)*ln(cot(x))The master column was probed on b3805f8; #1855, merged since, does not touch this rule. The sizes were measured on the branch with 089d615 merged in.
Corpus, every family against master b3805f8: 1 move, 4.7.7:976, from unsolved to solved. 0 wrong. The allocation gate passes, and the suite passes 15,248.
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