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Path: ...!eternal-september.org!feeder2.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: Lawrence D'Oliveiro <ldo@nz.invalid> Newsgroups: comp.lang.fortran Subject: Re: Angle Units For Trig Functions Date: Thu, 24 Oct 2024 05:22:53 -0000 (UTC) Organization: A noiseless patient Spider Lines: 11 Message-ID: <vfcljc$2gt43$1@dont-email.me> References: <vf1ug0$8qpm$1@dont-email.me> <vf24qs$9mgr$1@dont-email.me> <vf79ii$1b5gt$1@dont-email.me> <pdXRO.88119$7OO5.22734@fx43.iad> <vf9hli$1nad3$4@dont-email.me> <vf9so2$1sngk$1@dont-email.me> <vf9upp$1sv6o$2@dont-email.me> <vfa3bs$31imq$1@paganini.bofh.team> <vfa4ru$1tujv$2@dont-email.me> <vfb1op$22ocr$1@dont-email.me> <vfbpd3$293e7$1@dont-email.me> <QVeSO.83134$UZH4.13101@fx44.iad> <vfbvv2$2a8la$1@dont-email.me> <vfcanb$2beml$1@dont-email.me> <vfcjga$2gc7o$3@dont-email.me> <vfckkt$2gojm$1@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Injection-Date: Thu, 24 Oct 2024 07:22:53 +0200 (CEST) Injection-Info: dont-email.me; posting-host="f4e50c47efa3e669267791fe76a6c176"; logging-data="2651267"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/JktB/YzZ2VZgS7O5Ozm1N" User-Agent: Pan/0.160 (Toresk; ) Cancel-Lock: sha1:bena7X7W0+Pux2sY8+6XWQezYT0= Bytes: 1764 On Thu, 24 Oct 2024 05:06:37 -0000 (UTC), Steven G. Kargl wrote: > For sin(x), argument reduction will give sin(0) = 0, exactly. That's one > angle. More generally, it gives sin(x) ≃ x, for uncountably many angles. > For sind(x), argument reduction will give sind(x) = 0, exactly, > for countable many angles. But it never gives sind(x) anywhere close to x.