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fix and improve trigonometric help files
The trigonometric file files have had several bug fixed. The EXAMPLE sections of trigonometric file have been made consistent. Added these new help files in anticipation of the code for these new (i.e., to be written) builtin functions: hacovercos hacoversin havercos haversin ahacovercos ahacoversin ahavercos ahaversin
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16
help/sin
16
help/sin
@@ -11,10 +11,13 @@ TYPES
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return number
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DESCRIPTION
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Calculate the sine of x to a multiple of eps with error less in
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Calculate the trigonometric sine of x to a multiple of eps with error less in
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absolute value than .75 * eps.
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EXAMPLE
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; print sin(1/2), sin(5/7), sin(42/7)
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0.47942553860420300027 0.6550778971785185742 -0.27941549819892587281
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; print sin(1, 1e-5), sin(1, 1e-10), sin(1, 1e-15), sin(1, 1e-20)
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0.84147 0.8414709848 0.841470984807896 0.84147098480789650665
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@@ -22,12 +25,9 @@ EXAMPLE
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9.1545-4.16891i 9.1544991469-4.16890696i
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; pi = pi(1e-20)
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; print sin(pi/6, 1e-10), sin(pi/2, 1e-10), sin(pi, 1e-10)
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; print sin(pi/6), sin(pi/2), sin(pi)
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0.5 1 0
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; print sin(1/2), sin(5/7), sin(42/7)
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0.47942553860420300027 0.6550778971785185742 -0.27941549819892587281
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LIMITS
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0 < eps < 1
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@@ -38,8 +38,10 @@ LINK LIBRARY
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SEE ALSO
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cos, tan, cot, sec, csc
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asin, acos, atan, acot, asec, acsc
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versin, coversin, vercos, avercos
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aversin, acoversin, covercos, acovercos
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versin, coversin, vercos, covercos
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aversin, acoversin, avercos, acovercos
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haversin, hacoversin, havercos, hacovercos
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ahaversin, hacoversin, havercos, ahacovercos
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epsilon
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## Copyright (C) 1999,2021,2023 Landon Curt Noll
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