ChildrenOfTheGods
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- Joined
- Feb 5, 2023
- Messages
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Hello everyone.
Trigonometric functions were not discovered by one person only, research on them developed over the centuries. But as the creator of trigonometric functions we can consider the creator to be Hipparchus. He was a Greek mathematician, geographer, and astronomer.
I noticed certain patterns on tables with trigonometric functions. Here is a table to see what i mean:
α [°] | 0° | 30° | 45° | 60° | 90° | 120° | 135° | 150° | 180°
-------------------------------------------------------------------------------------------------------------
sin α | 0 | 1/2 | √2/2 | √3/2 | 1 | √3/2 | √2/2 | 1/2 | 0
cos α | 1 | √3/2 | √2/2 | 1/2 | 0 | -1/2 | -√2/2 | -√3/2 | -1
tg α | 0 | √3/3 | 1 | √3 | — | -√3 | -1 | -√3/3 | 0
ctg α | — | √3 | 1 | √3/3 | 0 | -√3/3 | -1 | -√3 | —
I hope it works on phones too, if not, please turn on computer version in settings.
I marked here numbers 0 with green color and 1 with red, ignoring minuses.
These marked numbers create two pentagrams, the one which is marked with red is normal, green one is reversed. If we use more degrees, up to 360°, we have 2 pentagrams connected by number 1 on 180° degrees, same with 0.
I also saw more correlation on these functions chart. I used Desmos for that, and i made just one chart with these 4 functions, here are screenshots:
For clarification, here is all chart:
(Do not treat 1 and 0 points on this chart as 1 and 0 from table above.)
So we have one star, which I at the beginnin thought is a pentagram (It is just a star) and one pentagram (if we connect the dots which are points of contact between functions, point of contact with the X-axis and points of contact with y=-1).
What do you all think about that? Do anyone see anything other there? Is it in your opinion associated anyhow with sacred geometry?
Trigonometric functions were not discovered by one person only, research on them developed over the centuries. But as the creator of trigonometric functions we can consider the creator to be Hipparchus. He was a Greek mathematician, geographer, and astronomer.
I noticed certain patterns on tables with trigonometric functions. Here is a table to see what i mean:
α [°] | 0° | 30° | 45° | 60° | 90° | 120° | 135° | 150° | 180°
-------------------------------------------------------------------------------------------------------------
sin α | 0 | 1/2 | √2/2 | √3/2 | 1 | √3/2 | √2/2 | 1/2 | 0
cos α | 1 | √3/2 | √2/2 | 1/2 | 0 | -1/2 | -√2/2 | -√3/2 | -1
tg α | 0 | √3/3 | 1 | √3 | — | -√3 | -1 | -√3/3 | 0
ctg α | — | √3 | 1 | √3/3 | 0 | -√3/3 | -1 | -√3 | —
I hope it works on phones too, if not, please turn on computer version in settings.
I marked here numbers 0 with green color and 1 with red, ignoring minuses.
These marked numbers create two pentagrams, the one which is marked with red is normal, green one is reversed. If we use more degrees, up to 360°, we have 2 pentagrams connected by number 1 on 180° degrees, same with 0.
I also saw more correlation on these functions chart. I used Desmos for that, and i made just one chart with these 4 functions, here are screenshots:
For clarification, here is all chart:
(Do not treat 1 and 0 points on this chart as 1 and 0 from table above.)
So we have one star, which I at the beginnin thought is a pentagram (It is just a star) and one pentagram (if we connect the dots which are points of contact between functions, point of contact with the X-axis and points of contact with y=-1).
What do you all think about that? Do anyone see anything other there? Is it in your opinion associated anyhow with sacred geometry?
