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Inaccuracy of TAN near 75° in rad mode
06-30-2015, 08:28 PM
Post: #19
RE: [WP 34s] Innacuracy of TAN near 75° in rad mode
(06-30-2015 07:49 PM)Marcio Wrote:  I should also point out that the problem only rises (more significantly) when the angle is between 73 and 77 degrees. There must be a reason for that.

No, there is nothing special about 73, 75 or 77 degrees. The error gets larger as the angle approaches 90° and, here more important, if the angle in radians happens to round not very well to 12 digits.

Example:
tan 75,2° = 3,7848 48088 37
75,2° = 1,3124 87597 49973... radians, which rounds nicely to 12 or even 11 digits.
tan(1,3124 87597 50) = 3,7848 48088 37

q.e.d.

Dieter
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RE: [WP 34s] Innacuracy of TAN near 75° in rad mode - Dieter - 06-30-2015 08:28 PM



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