Comments on: Calculating Sines without Calculus
https://cafe.elharo.com/math/calculating-sines-without-calculus/
Longer than a blog; shorter than a bookMon, 24 May 2021 09:34:16 +0000hourly1https://wordpress.org/?v=4.9.20By: Peter V. Farrelly
https://cafe.elharo.com/math/calculating-sines-without-calculus/comment-page-1/#comment-4714642
Sun, 08 Apr 2018 07:04:13 +0000http://cafe.elharo.com/?p=764#comment-4714642In my matriculation-level exam for mathematics, over fifty years ago, there was a question asking for the calculation of the sine of 54 degrees in square root form. I had found how to do this in my revision. The method harks right back to Euclid and others. I was the only in my class to get the right answer because I trolled old text books for my revision. Checking out old text books that have been dumped from libraries might be worth doing.
]]>By: Joe
https://cafe.elharo.com/math/calculating-sines-without-calculus/comment-page-1/#comment-4056536
Sat, 30 Jan 2016 01:09:36 +0000http://cafe.elharo.com/?p=764#comment-4056536Very nice article. If you will do the same thing but with logarithms, then I would have my long sought after question answered, too! I cannot seem to find a satisfactory method for calculating logs without a calculator. How did Napier do this?
]]>By: Gopi
https://cafe.elharo.com/math/calculating-sines-without-calculus/comment-page-1/#comment-3666709
Fri, 31 Jul 2015 13:08:56 +0000http://cafe.elharo.com/?p=764#comment-3666709For long there was a feeling in me about Trigonometry existing without calculus which clearly meets the truth “There is such a such a thing as Trigonometry without Calculus”. I too had the same doubts and questions. Thankfully they are answered now by the messages written above by the wise people.But alas will the Modern Mathematicians allow us to pursue “Trigonometry without Calculus”?
]]>By: bren
https://cafe.elharo.com/math/calculating-sines-without-calculus/comment-page-1/#comment-3570922
Thu, 18 Jun 2015 20:11:20 +0000http://cafe.elharo.com/?p=764#comment-3570922I was also here when I wondered about the accuracy of the taylor series, when is another kettle of fish, ie when you try to
find answer they tend not to be there!!
]]>By: bren
https://cafe.elharo.com/math/calculating-sines-without-calculus/comment-page-1/#comment-3570919
Thu, 18 Jun 2015 20:10:04 +0000http://cafe.elharo.com/?p=764#comment-3570919Dave Unger, I remember doing the same, the teacher was doing some trig stuff and it then suddenly occurred to me how are sines calculated, she gave
a kind of waffling answer that didn’t really leave me any the wiser, ie that it was complicated or advance.
The rest of the class looked at me like I was from a different planet!!
To her credit thought the teacher did know I was miles better at maths than the rest of the class, and may better than her lol.
]]>By: Dave Unger
https://cafe.elharo.com/math/calculating-sines-without-calculus/comment-page-1/#comment-3363109
Thu, 02 Apr 2015 05:02:23 +0000http://cafe.elharo.com/?p=764#comment-3363109Ever since I started taking trigonometry in school (a long time ago), I found the subject very fascinating, but I always did wonder as to “how” the trig tables were constructed in the first place. it almost seemed to me that we were missing a key part of the story. I never did get an answer from any of my teachers, they always admitted to not knowing, and as I seemed to be the only one in the class who was interested, we always “moved on”. Now, finally, over 50 years later, thanks to the internet, I have finally tracked down a satisfactory answer. Thank you so much for this! Not surprisingly, perhaps, I still seem to be the only one in my circle of friends who shows the slightest interest!