Solving sine and cosine without a calculator or table.
Category: Science > Math
Asked by: losvedir-ga
List Price: $10.00
27 Jun 2003 17:47 PDT
Expires: 27 Jul 2003 17:47 PDT
Question ID: 222630
Is there a general way to find a numeric approximation of the sine or cosine of an angle(eg. sin53) without using a calculator or table? I would like to know this process for use beyond the typical (45*, 30*, 60*, 90*, etc.) angles. Just a link to a page describing the process would be fine. Thanks!
Re: Solving sine and cosine without a calculator or table.
Answered By: arimathea-ga on 27 Jun 2003 17:56 PDT
losvedir-ga, Thanks for the opportunity to answer your question! I found a page that discussed this very topic at: http://mathforum.org/library/drmath/view/53964.html An excerpt: "But I gather that you're looking for a more algebraic, formulaic way? Well, there's no algebraic way to compute exactly the trigonometric values of every angle, only certain ones like Pi/2, Pi/3, Pi/4, and things like that. You can, however, use an algebraic formula to find an _approximation_ to any angle. To approximate Sine, use the formula x^3 x^5 x^7 x - ---- + ----- - ----- + .... 3! 5! 7! For cosine, use the formula x^2 x^4 x^6 1 - ---- + ----- - ----- + .... 2! 4! 6! These both converge pretty quickly to the right value, and they converge most quickly when x isn't too far away from 0." Best regards! arimathea-ga Researcher Research strategy: find sine cosine angle "without table" search on Google.
rated this answer:
Thank you! That was exactly what I was looking for!
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