Now I realize it was just a phase.
Turns outβ-it was just a phase.
https://hsm.stackexchange.com/questions/5258/what-is-the-etymology-behind-sine-cosine-tangent-etc
The jist is that the term jya-ardha (chord-half) (Sanskrit) was abbreviated jiva which was mistranslated into Arabic as a made up word jiba. But since written Arabic doesn't have vowels later Arabic scholars interpreted Jiba as Jb or Jaib which means bosom or breast. Then Latin scholars just translated that as Sinus which mean bosom or breast pocket, which then became sine in English.
So that's some 3,000 year old 3rd grade humor. I imagine the Latin scholars who were translating the Arabic works just going "I have no idea what this has to do with butts and boobs but then again I don't know trigonometry" and continued to scribe.
And the co in cosine meant complementary.
The link goes into more detail.
I want to write a program that calculates Sine and Cosine without using a the sine() and cosine() functions, and I've already done it two years back:
https://github.com/Chubek/CodingChallenges/tree/master/SineCosine
Apparently I've used a series called the "Taylor" series, but I have forgotten it entirely mainly because this code did not work! What did I do wrong here, mathematically speaking?
It has its ups and downs...
As I got older, I realized it was just a phase.
Hello. I'll be taking the Math II this December and was wondering how often, if at all, questions regarding the law of sines/cosines appear on the test.
Is it the sqrt of piss?
Hello,
I have an exam coming up in a couple hours and I'm just a little confused on this problem. It says to write in terms of sine and cosine but in the examples my instructor gave me the answers are csc and tan so I'm just confused because it says to write it as sine and cosine.
How do I know when the problem is in it's simplest form?
I have been learning about these graphs, but I don't understand why they have these shapes. When I tried to find out why, I was only told what they look like rather than why they look the way they do.
Why are sine and cosine the functions that are scaled and shifted in a Fourier series? Are these functions special in some way?
I had a random thought pop into my head that maybe it would be possible to model any periodic function as an infinite sum of any other scaled and shifted periodic functions.
Is this idea that I had correct? And if not, what is so special about sine waves/cosine waves that make them perfect for representing other periodic functions?
And if I was correct and periodic functions actually can be modeled by infinite sums of other periodic functions, why are sine/cosine the ones that we always use?
Thanks!
I think itβs just a phase.
As I got older, I realized it was just a phase...
