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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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@@ -14,13 +14,13 @@ DESCRIPTION
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Calculate the coversed trigonometric cosine of x to a multiple of eps with error less in
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absolute value than .75 * eps.
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This function is sometimes called cvc, is equivalent to:
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This function is sometimes called cvc, or covercosine, is equivalent to:
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covercos(x) = 1 + sin(x)
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EXAMPLE
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; print covercos(0.2), covercos(3/7), covercos(-31)
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1.19866933079506121546 1.41557185499305200807 1.40403764532306500605
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; print covercos(1/2), covercos(5/7), covercos(42/7)
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1.47942553860420300027 1.6550778971785185742 0.72058450180107412719
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; print covercos(1, 1e-5), covercos(1, 1e-10), covercos(1, 1e-15), covercos(1, 1e-20)
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1.84147 1.8414709848 1.841470984807896 1.84147098480789650665
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@@ -29,8 +29,8 @@ EXAMPLE
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10.1545-4.16891i 10.1544991469-4.16890696i
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; pi = pi(1e-20)
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; print covercos(pi/6, 1e-10), covercos(pi/2, 1e-10), covercos(pi, 1e-10), covercos(3*pi/2, 1e-10)
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1.5 2 1 0
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; print covercos(pi/6), covercos(pi/2), covercos(pi)
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1.5 2 1
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LIMITS
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0 < eps < 1
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@@ -42,8 +42,10 @@ LINK LIBRARY
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SEE ALSO
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sin, 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
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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) 2023 Landon Curt Noll
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