I have to admit that when a calculator says 9.00...00 I can't help getting suspicious that there may be some cosmetic numerical methods at work
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BTW in many cases the calculator says 9 exactly but subtract 9 from that result to see how much it rounded the result. I think the table contains results pre-rounding eg. for the (under-appreciates) ATC-139 that I first tested.
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looks like Wolfram Alpha doesn't even qualify for the listpic.twitter.com/WZI2KjUrhE
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In *degrees*. Mathematica has a Degrees constant that enables the conversion but Alpha gets confused if you use it in expressions with too many functions in itpic.twitter.com/pPmRUrUdeI
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The entry for Sharp EL-510S is not sorted properly in that list. I wonder if it is a typo or got mistakenly edited somehow.
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The list is probably on a static web page maintained by hand
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@apple calculator: 9.000000000000055 -
On iOS, it gives exactly 9.
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The origin of the problem: for x on the real axis arcsin(arccos(arctan(tan(cos(sin(x) ) ) ) ) ) is a sawtooth function, with linear cusps at x=0,±π/2,±π,... . Now it happens that most compilers use Chebychev series expansions for trigonometric functions, which fail near cusps.
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Cont.) Since 9 degrees is between 0 and 90 degrees, and in this interval arcsin(arccos(arctan(tan(cos(sin(x) ) ) ) ) ) = x, the correct answer for x = 9 degrees is just 9 degrees.
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