Computing cosine of very large arguments like cos(π·2.34579^2000)

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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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Thanks Tide!

I appreciate the reference!

Best Regards,

Edwin
 
It probably just uses a series form with its large number algorithms.