sine and cosine
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How are they calculated? I remember from school that it has to do with the distance from the center of a circle, but don't recall exactly how it was done. Not trying to implement them by any means (99.99% of all language libraries already do), I'm just curious. Jamie Nordmeyer Portland, Oregon, USA
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How are they calculated? I remember from school that it has to do with the distance from the center of a circle, but don't recall exactly how it was done. Not trying to implement them by any means (99.99% of all language libraries already do), I'm just curious. Jamie Nordmeyer Portland, Oregon, USA
Distance from the center of a circle has something to do with it. First, one quick definition: Unit circle - circle centered at the origin with a radius of 1. From here, sine and cosine can be defined relatively simply. Starting from the point on the positive X axis (1, 0), move along the circle by the angle specified as the argument to sine or cosine. For sine, use the y-coordinate of the new point, and use the x-coordinate for cosine.
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How are they calculated? I remember from school that it has to do with the distance from the center of a circle, but don't recall exactly how it was done. Not trying to implement them by any means (99.99% of all language libraries already do), I'm just curious. Jamie Nordmeyer Portland, Oregon, USA
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How are they calculated? I remember from school that it has to do with the distance from the center of a circle, but don't recall exactly how it was done. Not trying to implement them by any means (99.99% of all language libraries already do), I'm just curious. Jamie Nordmeyer Portland, Oregon, USA
I found this on DrMath.com http://mathforum.org/library/drmath/view/54012.html[^] Have fun :)
Build a man a fire, and he will be warm for a day
Light a man on fire, and he will be warm for the rest of his life! -
How are they calculated? I remember from school that it has to do with the distance from the center of a circle, but don't recall exactly how it was done. Not trying to implement them by any means (99.99% of all language libraries already do), I'm just curious. Jamie Nordmeyer Portland, Oregon, USA
From highschool math, SOHCAHTOA. That is, considering this triangle:
/| / | / | h / | / | o / | / | / q | --------- awhere: q = the angle h = the length of the hypoteneuse (sp?) o = the length of the side opposite the angle a = the length of the side adjacent to the angle then: sin q = o / h cos q = a / h tan q = o / a They're just a bunch of ratios. J
May the bear never have cause to eat you.
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From highschool math, SOHCAHTOA. That is, considering this triangle:
/| / | / | h / | / | o / | / | / q | --------- awhere: q = the angle h = the length of the hypoteneuse (sp?) o = the length of the side opposite the angle a = the length of the side adjacent to the angle then: sin q = o / h cos q = a / h tan q = o / a They're just a bunch of ratios. J
May the bear never have cause to eat you.
Nicely illustrated! This brings back memory of Geometry Trigonometry... good old SOHCAHTOA :-). Regards, Alvaro
Well done is better than well said. -- Benjamin Franklin (I actually prefer medium-well.)
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Nicely illustrated! This brings back memory of Geometry Trigonometry... good old SOHCAHTOA :-). Regards, Alvaro
Well done is better than well said. -- Benjamin Franklin (I actually prefer medium-well.)
Alvaro Mendez wrote: good old SOHCAHTOA Heh, that reminds me of this one girl I knew back in high school. She could never remember SOHCAHTOA right, so she'd start off a trig problem by writing SAHTOHCOA or some other odd permuatation of the letters. ;) --Mike-- Friday's GoogleFight results: Britney Spears 2,190,000 - Erica Weichers 23 :( 1ClickPicGrabber - Grab & organize pictures from your favorite web pages, with 1 click! My really out-of-date homepage Sonork-100.19012 Acid_Helm
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How are they calculated? I remember from school that it has to do with the distance from the center of a circle, but don't recall exactly how it was done. Not trying to implement them by any means (99.99% of all language libraries already do), I'm just curious. Jamie Nordmeyer Portland, Oregon, USA
Jamie Nordmeyer wrote: How are they calculated? With a few exceptions they can't be numerically calculated only aproximated. All the only approximations I have seen for them are really just variants of approximating Pi. Regardz Colin J Davies
Sonork ID 100.9197:Colin
You are the intrepid one, always willing to leap into the fray! A serious character flaw, I might add, but entertaining. Said by Roger Wright about me.
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sin(x) = x - x^3/3! + x^5/5! - x^7/7! + x^9/9! - ... cos(x) = 1 - x^2/2! + x^4/4! - x^6/6! + x^8/8! - ...
x being specified in radians, of course...
Software Zen:
delete this; -
Alvaro Mendez wrote: good old SOHCAHTOA Heh, that reminds me of this one girl I knew back in high school. She could never remember SOHCAHTOA right, so she'd start off a trig problem by writing SAHTOHCOA or some other odd permuatation of the letters. ;) --Mike-- Friday's GoogleFight results: Britney Spears 2,190,000 - Erica Weichers 23 :( 1ClickPicGrabber - Grab & organize pictures from your favorite web pages, with 1 click! My really out-of-date homepage Sonork-100.19012 Acid_Helm
Sounds like someone really special, Mike ;)....... I used to use "Silly old Harry, caught all herring, trauling off America" back when I was knee high :). -- Andrew.