Computer Programs & Systems for Calculating Cosine Values for Large Numbers

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Discussion Overview

The discussion centers on the availability and capabilities of computer programs or systems that can compute trigonometric values, specifically cosine, for large numbers. The focus is on achieving a precision of three decimal places for calculations involving expressions like cos((pi)*2.34579^2000).

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant, Edwin, inquires about existing computer programs or systems capable of calculating cosine values for large numbers with specific accuracy and asks about their availability and cost.
  • Another participant mentions that Derive can compute the cosine value for the given expression, providing a specific numerical result.
  • Edwin expresses gratitude for the reference to Derive.
  • One participant wonders about the methodology used by Derive to perform these calculations.
  • Another participant suggests that Derive likely employs a series form in conjunction with algorithms designed for large numbers.

Areas of Agreement / Disagreement

Participants have not reached a consensus on the methods used by Derive or the specifics of how it computes large cosine values, indicating that multiple viewpoints and uncertainties remain in the discussion.

Contextual Notes

The discussion does not clarify the assumptions behind the computational methods or the definitions of accuracy in this context, leaving some aspects unresolved.

Who May Find This Useful

This discussion may be of interest to individuals looking for computational tools for trigonometric calculations, particularly in the context of large numbers and high precision.

Edwin
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Are there any computer programs, or computer systems out there that can compute trigonometric values for cosine for large numbers like

cos((pi)*t) = cos((pi)*2.34579^2000) to an accuracy of three decimal spaces? Where pi is the number 3.1415...n

If so, what systems are available, how might I get one, or rather, how much do they cost?

Also, If such a system exists, how long would it take to calculate something like cos((pi)*2.34579^2000) to an accuracy of three decimal places (to the thousandth's place)?

Inquisitively,

Edwin
 
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Derive 6 will do it. (0.5047333291)
 
Thanks Tide!

I appreciate the reference!

Best Regards,

Edwin
 
I wonder how Derive goes about that...
 
It probably just uses a series form with its large number algorithms.
 

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