#trigonometry — Public Fediverse posts

Show of the Day: Trigonometry

The LezWatch.TV show of the day is "Trigonometry," with 3 characters and an overall score of 55.58. - #LWTVsotd #Trigonometry - https://lezwatchtv.com/show/trigonometry/

https://lezwatchtv.com/show/trigonometry/

An easy puzzle about mathematical terminology.

Name a language that uses the _same_ word for BOWSTRING and SINE.

Context:
A BOWSTRING is a well-known concrete example of a _chord_ (of a circle).
The SINE function is immediately related to a _chord's_ length.

_________
As a spoiler of sorts,
↓
↓
↓
and for extra credit,
↓
↓
↓
recall how the word SINUS, Latin for FOLD, GULF, POCKET
(all rather different from bowstrings),
came to be used to name that function.

--␠
My other bowstring is a quiver.

#HistoryOfMathematics
#Terminology
#Trigonometry

🚀 Oh, look! Another riveting exploration of mathematical function #optimization that will surely redefine human existence. Apparently, the key to faster asin() was hiding in plain sight, and we bet it was right next to the cure for world hunger. 🙄 Let's all just take a moment to thank the gods of #trigonometry for this groundbreaking revelation. 🥳
https://16bpp.net/blog/post/even-faster-asin-was-staring-right-at-me/ #mathematics #innovation #tech #news #fun #HackerNews #ngated

Why doesn't #Mathematica simplify sinh(arccosh(x))? Because apparently, it takes a PhD in #Trigonometry, a magnifying glass, and a deep existential crisis to venture into that rabbit hole. 🤔🔍 Just when you thought it was all about cosines and sines, hyperbolics crash the party and demand their own dissertation. 📚🎉
https://www.johndcook.com/blog/2026/03/10/sinh-arccosh/ #Hyperbolic #Functions #MathProblems #ExistentialCrisis #HackerNews #ngated

Now the music is in its flow, so I have time to come back to drawing and generative arts.

Today, I picked sine and cosine and combined them with some alpha values. I have many results and I will post some others of this session, too.

But here's a circle with a sine wave as the radius and this looped while changing radius and phase.

It's all coded by myself. I used mathematical functions to create this piece of art. And no AI.

#generativeart #trigonometry #flowers #wind #nature #genuary #genart #art #mastoart #fediart #p5js #noai #genuary2026 #code #math #programming #artwork #minimalism #coding #generative #artforsale #simplify #creativecoding #random

Avoiding Trigonometry (2013)

https://iquilezles.org/articles/noacos/

#HackerNews #AvoidingTrigonometry #Trigonometry #2013 #Math #Articles #Iquilezles #HackerNews

#SemVer! #DateVer! #MonotonicVer!

There are lots of #options, so following rule 927, I hereby propose my own #alternative.

#SpiralVer!

v. 1
v. j1
v. -1
v. -j1
v. 2
v. j2
[...]

One problem is that minor releases require doing #trigonometry.

#XKCD927 #standards #versioning #mathematics #complex #ComplexNumbers #engineering #trigonometry #sin #cosin

My friend said “I hate math puns,” and I agreed and said “I will cosine that.”

#puns #math #trigonometry #imsorry

#OnThisDay Birth Anniversary of Italian #Physicist Alessandro Volta (1745) - credited as the inventor of the electric #Battery.

Birth Anniversary of Persian polymath Nasir al-Din al-Tusi (1201) - considered the creator of #Trigonometry as a mathematical discipline.

Today is #PlutoDay to commemorate the anniversary of the discovery of Pluto in 1930.

https://knowledgezone.co.in/news

#ShortBreak #DoomScrollBreak #science #ScienceIsFun #mathematics #trigonometry #space #astronomy

How cool is THAT?! ^.^

#SimonClark measures the hight of the #atmosphere according to the method of mathemathician ibn Muʿādh al-Jayyānī (989-1079)

https://www.youtube.com/shorts/2MjmO4bL4xw

#ShortBreak #DoomScrollBreak #science #ScienceIsFun #mathematics #trigonometry #space #astronomy

How cool is THAT?! ^.^

#SimonClark measures the hight of the #atmosphere according to the method of mathemathician ibn Muʿādh al-Jayyānī (989-1079)

https://www.youtube.com/shorts/2MjmO4bL4xw

#ShortBreak #DoomScrollBreak #science #ScienceIsFun #mathematics #trigonometry #space #astronomy

How cool is THAT?! ^.^

#SimonClark measures the hight of the #atmosphere according to the method of mathemathician ibn Muʿādh al-Jayyānī (989-1079)

https://www.youtube.com/shorts/2MjmO4bL4xw

#ShortBreak #DoomScrollBreak #science #ScienceIsFun #mathematics #trigonometry #space #astronomy

How cool is THAT?! ^.^

#SimonClark measures the hight of the #atmosphere according to the method of mathemathician ibn Muʿādh al-Jayyānī (989-1079)

https://www.youtube.com/shorts/2MjmO4bL4xw

#ShortBreak #DoomScrollBreak #science #ScienceIsFun #mathematics #trigonometry #space #astronomy

How cool is THAT?! ^.^

#SimonClark measures the hight of the #atmosphere according to the method of mathemathician ibn Muʿādh al-Jayyānī (989-1079)

https://www.youtube.com/shorts/2MjmO4bL4xw

Try it out! Change the checkboxes, drag the sliders. You can copy the link from "link here" to share your settings. https://ednl.github.io/spirojs/

#mathematics #numberphile #trigonometry #visualisation #animation #processing #p5jx #p5xjs

Try it out! Change the checkboxes, drag the sliders. You can copy the link from "link here" to share your settings. https://ednl.github.io/spirojs/

#mathematics #numberphile #trigonometry #visualisation #animation #processing #p5jx #p5xjs

Try it out! Change the checkboxes, drag the sliders. You can copy the link from "link here" to share your settings. https://ednl.github.io/spirojs/

#mathematics #numberphile #trigonometry #visualisation #animation #processing #p5jx #p5xjs

Try it out! Change the checkboxes, drag the sliders. You can copy the link from "link here" to share your settings. https://ednl.github.io/spirojs/

#mathematics #numberphile #trigonometry #visualisation #animation #processing #p5jx #p5xjs

Try it out! Change the checkboxes, drag the sliders. You can copy the link from "link here" to share your settings. https://ednl.github.io/spirojs/

#mathematics #numberphile #trigonometry #visualisation #animation #processing #p5jx #p5xjs

#30 Its not a bug, its a feature.

To explain to you, it's not a bug that there are two dots and an arc, it's a feature. And yes, some fun at the end of Genuary has to be included.

When I made the first monthly challenges I was stressed and focus on good results. But as soon as I lifted fun to the top leader I learned much more and developed during every challenge. Last october I learned sculpting from scratch during Sculptober. So, let us smile together today that we produced awesome creations.

What do you smile about today?

#genuary #sun #trigonometry #genart #art #mastoart #fediart #p5js #noai #genuary2026 #code #math #programming #artwork #minimalism #coding #generativeart #generative #artforsale #simplify #creativecoding #random #curves #face #cute #funny #fun #comic #illustration #emoji #icon #happy #happiness

How would you create such a sliding glow effect on `:hover`? Trivial with `corner-shape`, but what about making it work cross-browser now?

Think about it, then check my solution on @codepen https://codepen.io/thebabydino/pen/EayVXKj

Detailed explanation of the Maths behind (with drawings) on Ko-fi/ Patreon. This way you get to both become smarter and support my work so I can continue coding.

#CSS #cssGradient #cssMask #coding #cornerShape #code #frontend #Maths #web #dev #webDev #webDevelopment #trigonometry

A few years ago I learned about the concept of antiperiodicity. For example, the function \( f(x) = \sin x\) is \(\pi\)-antiperiodic because \( \sin (x+\pi)=-\sin x\).

The fact that \( \sin x\) and \( \cos x\) are both \(\pi\)-antiperiodic explains a lot! For example, this explains why \( \tan x\) is \(\pi\)-periodic even though \( \sin x\) and \( \cos x\) are \(2\pi\)-periodic:

\[ \tan (x+\pi)=\frac{\sin (x+\pi)}{\cos (x+\pi)}=\frac{-\sin x}{-\cos x}=\frac{\sin x}{\cos x}\]
which of course is just \(\tan x\).

Similarly, it explains why \( \sin^2x \) and \( \cos^2x \) are \(\pi\)-periodic.

It even explains why rose curves in the polar plane of the form \( r = \sin(n\theta)\) sometimes have n petals and sometimes have 2n petals! (Secret: they *always* have 2n petals).

#Math #Mathematics #Trigonometry #Geometry

Variable aspect ratio cards with conic gradients meeting along the diagonal.

First coded this when we didn't have inverse trigonometric functions in #CSS - can you figure out how on your own?

@csstricks post https://css-tricks.com/variable-aspect-ratio-card-with-conic-gradients-meeting-along-the-diagonal/

@codepen demo https://codepen.io/thebabydino/pen/XWpyowX

#code #CSSMaths #trigonometry #Maths #cssGradient #conicGradient #coding #web #dev #webDev #webDevelopment #frontend

Variable aspect ratio cards with conic gradients meeting along the diagonal.

First coded this when we didn't have inverse trigonometric functions in #CSS - can you figure out how on your own?

@csstricks post https://css-tricks.com/variable-aspect-ratio-card-with-conic-gradients-meeting-along-the-diagonal/

@codepen demo https://codepen.io/thebabydino/pen/XWpyowX

#code #CSSMaths #trigonometry #Maths #cssGradient #conicGradient #coding #web #dev #webDev #webDevelopment #frontend

Variable aspect ratio cards with conic gradients meeting along the diagonal.

First coded this when we didn't have inverse trigonometric functions in #CSS - can you figure out how on your own?

@csstricks post https://css-tricks.com/variable-aspect-ratio-card-with-conic-gradients-meeting-along-the-diagonal/

@codepen demo https://codepen.io/thebabydino/pen/XWpyowX

#code #CSSMaths #trigonometry #Maths #cssGradient #conicGradient #coding #web #dev #webDev #webDevelopment #frontend

Variable aspect ratio cards with conic gradients meeting along the diagonal.

First coded this when we didn't have inverse trigonometric functions in #CSS - can you figure out how on your own?

@csstricks post https://css-tricks.com/variable-aspect-ratio-card-with-conic-gradients-meeting-along-the-diagonal/

@codepen demo https://codepen.io/thebabydino/pen/XWpyowX

#code #CSSMaths #trigonometry #Maths #cssGradient #conicGradient #coding #web #dev #webDev #webDevelopment #frontend

Hype for the Future 68J: The Derivatives of the Different Trigonometric Functions?

Overview

While novaTopFlex would like to explain the derivatives and integrals of the different trigonometric functions, LaTeX would be required in order to correctly interpret the underlying situation.

Exploding triakis octahedron (short pyramids added on top of the faces) turning into an excavated octahedron (short pyramids dug into the faces) with pure #CSS #3D - live on @codepen: https://codepen.io/thebabydino/pen/DyrNrL

#Maths #geometry #polyhedra #css3D #cssTransform #cssTransforms #coding #code #transform #frontend #cssMaths #Sass #web #dev #webDevelopment #webDev #trigonometry #polyhedron #octahedron

Exploding triakis octahedron (short pyramids added on top of the faces) turning into an excavated octahedron (short pyramids dug into the faces) with pure #CSS #3D - live on @codepen: https://codepen.io/thebabydino/pen/DyrNrL

#Maths #geometry #polyhedra #css3D #cssTransform #cssTransforms #coding #code #transform #frontend #cssMaths #Sass #web #dev #webDevelopment #webDev #trigonometry #polyhedron #octahedron

Exploding triakis octahedron (short pyramids added on top of the faces) turning into an excavated octahedron (short pyramids dug into the faces) with pure #CSS #3D - live on @codepen: https://codepen.io/thebabydino/pen/DyrNrL

#Maths #geometry #polyhedra #css3D #cssTransform #cssTransforms #coding #code #transform #frontend #cssMaths #Sass #web #dev #webDevelopment #webDev #trigonometry #polyhedron #octahedron

Exploding triakis octahedron (short pyramids added on top of the faces) turning into an excavated octahedron (short pyramids dug into the faces) with pure #CSS #3D - live on @codepen: https://codepen.io/thebabydino/pen/DyrNrL

#Maths #geometry #polyhedra #css3D #cssTransform #cssTransforms #coding #code #transform #frontend #cssMaths #Sass #web #dev #webDevelopment #webDev #trigonometry #polyhedron #octahedron

Exploding triakis octahedron (short pyramids added on top of the faces) turning into an excavated octahedron (short pyramids dug into the faces) with pure #CSS #3D - live on @codepen: https://codepen.io/thebabydino/pen/DyrNrL

#Maths #geometry #polyhedra #css3D #cssTransform #cssTransforms #coding #code #transform #frontend #cssMaths #Sass #web #dev #webDevelopment #webDev #trigonometry #polyhedron #octahedron

One of my earliest #CSS #3D demos on @codepen: how to (de)construct a dodecahedron https://codepen.io/thebabydino/pen/ALQVQe

A dodecahedron is one of the 5 regular polyhedra = made up of only identical regular polygon faces. Regular polygons have all edge lengths and vertex angles equal.

#geometry #Maths #code #coding #css3D #cssTransforms #transform #frontend #polyhedron #polyhedra #PlatonicSolid #dodecahedron #cssAnimation #web #dev #webDev #webDevelopment #trigonometry #Sass #SCSS

One of my earliest #CSS #3D demos on @codepen: how to (de)construct a dodecahedron https://codepen.io/thebabydino/pen/ALQVQe

A dodecahedron is one of the 5 regular polyhedra = made up of only identical regular polygon faces. Regular polygons have all edge lengths and vertex angles equal.

#geometry #Maths #code #coding #css3D #cssTransforms #transform #frontend #polyhedron #polyhedra #PlatonicSolid #dodecahedron #cssAnimation #web #dev #webDev #webDevelopment #trigonometry #Sass #SCSS

One of my earliest #CSS #3D demos on @codepen: how to (de)construct a dodecahedron https://codepen.io/thebabydino/pen/ALQVQe

A dodecahedron is one of the 5 regular polyhedra = made up of only identical regular polygon faces. Regular polygons have all edge lengths and vertex angles equal.

#geometry #Maths #code #coding #css3D #cssTransforms #transform #frontend #polyhedron #polyhedra #PlatonicSolid #dodecahedron #cssAnimation #web #dev #webDev #webDevelopment #trigonometry #Sass #SCSS

One of my earliest #CSS #3D demos on @codepen: how to (de)construct a dodecahedron https://codepen.io/thebabydino/pen/ALQVQe

A dodecahedron is one of the 5 regular polyhedra = made up of only identical regular polygon faces. Regular polygons have all edge lengths and vertex angles equal.

#geometry #Maths #code #coding #css3D #cssTransforms #transform #frontend #polyhedron #polyhedra #PlatonicSolid #dodecahedron #cssAnimation #web #dev #webDev #webDevelopment #trigonometry #Sass #SCSS

Later, on an walk through the woods, I realized that sine and cosine are their own fourth derivatives. This is not exactly news to mathematicians, but all of a sudden it was like OF COURSE they are! (3/n)

#math #learning #trigonometry

Most of the math I know beyond "business calculus" is math I picked up in grad school (economics) or taught myself later. I'm constantly reminded there are gaps in my knowledge. For example, trigonometry doesn't come up much in economics or statistics. (1/n)

#math #learning #trigonometry

Problems In Mathematics With Hints And Solutions by V. Govorov; P. Dybov; N. Miroshin; S. Smirnova

The book contains more than three thousand mathematics problems and covers each topic taught at school. The problems were contributed by 120 of the higher schools of the USSR and all the universities.

The book is divided into, four parts: algebra and trigonometry, fundamentals of analysis, geometry and vector algebra, and the problems and questions set during oral examinations. The authors considered it necessary to include some material relating to complex numbers, combinatorics, the binomial theorem, elementary trigonometric inequalities, and set theory and the method of coordinates. The authors believe that this material will help the readers systematize their knowledge in the principal divisions of mathematics.

In writing the book, the authors have used their experience of examining students in mathematics at higher schools and the preparation of television courses designed to help students revise their knowledge for the entrance examinations to higher educational establishments.

To make it easier for readers to grasp the material, some of the sections have been supplemented with explanatory text. The problems are all answered and some have additional hints or complete solutions.

The more difficult problems are marked with asterisks. Part 4 is entitled “Oral Examination Problems and Questions” and includes samples suggested by the higher schools.

The authors hope that this book will help those who want to enter the various types of higher school, aid the teachers, and be of use to all those who want to deepen and systematize their knowledge of mathematics.

EDITED BY PROF. A.I. PRILEPKO, D.Sc.

Translated from the Russian by Irene Aleksanova

You can get the book here and here.

Twitter: @MirTitles
Mastodon: @[email protected]
Mastodon: @[email protected]
Bluesky: mirtitles.bsky.social
Fork us at: https://gitlab.com/mirtitles

Contents

Preface 5
Part 1 Algebra Trigonometry and Elementary Functions 9
1.1 Problems on Integers Criteria for Divisibility 9
1.2 Real Numbers Transformation of Algebraic Expressions 13
1.3 Mathematical Induction Elements of Combinatorics Binomial Theorem
1.4 Equations and Inequalities of the First and the Second Degree
1.5 Equations of Higher Degrees Rational Inequalities
1.6 Irrational Equations and Inequalities
1.7 Systems of Equations and Inequalities
1.8 The Domain of Definition and the Range of a Function
1.9 Exponential and Logarithmic Equations and Inequalities
1.10 Transformations of Trigonometric Expressions Inverse Trigonometric Functions
1.11 Solution of Trigonometric Equations Inequalities and Systems of Equations
1.12 Progressions
1.13 Solution of Problems on Derivation of Equations
1.14 Complex Numbers
Part 2 Fundamentals of Mathematical Analysis
2.1 Sequences and Their Limits An Infinitely Decreasing Geometric Progression Limits of Functions
2.2 The Derivative Investigating the Behaviour of Functions with the Aid of the Derivative
2.3 Graphs of Functions
2.4 The Antiderivative The Integral The Area of a Curvilinear Trapezoid
Part 3 Geometry and Vector Algebra
3.1 Vector Algebra
3.2 Plane Geometry Problems on Proof
3.3 Plane Geometry Construction Problems
3.4 Plane Geometry Calculation Problems
3.5 Solid Geometry Problems on Proof
3.6 Solid Geometry Calculation Problems
Part 4 Oral Examination Problems and Questions 241
4.1 Sample Examination Papers 241
4.2 Problems Set at an Oral Examination 244
Hints and Answers 265
Appendix 386

#algebra #geometry #mathematics #problemBooks #problemsAndSolutions #sovietLiterature #trigonometry

Ah yes, because nothing screams "basic #programming test" like dragging #trigonometry into a #game designed for kindergartners. 🤦‍♂️ Apparently, "if-else" wasn't enough of a brain teaser, so let's throw in some sine waves just to flex those over-engineering muscles. 🙃
https://susam.net/fizz-buzz-with-cosines.html #humor #overengineering #development #education #satire #HackerNews #ngated

#Noisevember! I ran out of time yesterday to post a track, so I'm posting two today. Here's one. It is again using a "direct" method: trig-filled code directly generates the sound. This one's nice and meditationy. Enjoy! https://soundcloud.com/matthew-m-conroy/direct-ii

#noise #sound #trigonometry

#Noisevember! Another long-running project I have is one in which I try to make decent-sounding stuff using "direct" composition of the sound wave using simple code, generally with a lot (but not too many) trig functions. This is what I made today. It's pretty noisy despite for a waveform that is everywhere differentiable (aside from the discrete nature of digital sound, of course). I hope you enjoy it. https://soundcloud.com/matthew-m-conroy/direct

#noise #trigonometry

Hype for the Future 9B: Verfunctions in Trigonometry

https://novatopflex.wordpress.com/2025/11/09/hype-for-the-future-9b-verfunctions-in-trigonometry/

#Inverse functions also exist using the #hyperbola in the role of the #circle. In these cases in #trigonometry the #arcfunctions are included below (possibly innocent errors about imaginary numbers):

#Inverse #functions in #trigonometry are included within the following image, using the #circle as the unit of measurement. #Mathematics also includes functions specifically about identifying the angles. All measurements are in #radians for each included graph.

There are n equally sized items arranged in half a circle on the left, from top to bottom, with the same gap g in between. How do you do it? Cross-browser, same #CSS (≤20 declarations) should work when changing their number/ gap.

Try to code it yourself before checking my solution https://www.reddit.com/r/Frontend/comments/1oi4dfe/comment/nlzvlry/

Live on @codepen: https://codepen.io/thebabydino/pen/ZYQjZwq

#Maths #geometry #trigonometry #code #cssMaths #coding #frontend #cssLayout #webDev #webDevelopment #web #dev #cssGrid #cssTransform #cssVariables

There are n equally sized items arranged in half a circle on the left, from top to bottom, with the same gap g in between. How do you do it? Cross-browser, same #CSS (≤20 declarations) should work when changing their number/ gap.

Try to code it yourself before checking my solution https://www.reddit.com/r/Frontend/comments/1oi4dfe/comment/nlzvlry/

Live on @codepen: https://codepen.io/thebabydino/pen/ZYQjZwq

#Maths #geometry #trigonometry #code #cssMaths #coding #frontend #cssLayout #webDev #webDevelopment #web #dev #cssGrid #cssTransform #cssVariables

There are n equally sized items arranged in half a circle on the left, from top to bottom, with the same gap g in between. How do you do it? Cross-browser, same #CSS (≤20 declarations) should work when changing their number/ gap.

Try to code it yourself before checking my solution https://www.reddit.com/r/Frontend/comments/1oi4dfe/comment/nlzvlry/

Live on @codepen: https://codepen.io/thebabydino/pen/ZYQjZwq

#Maths #geometry #trigonometry #code #cssMaths #coding #frontend #cssLayout #webDev #webDevelopment #web #dev #cssGrid #cssTransform #cssVariables

There are n equally sized items arranged in half a circle on the left, from top to bottom, with the same gap g in between. How do you do it? Cross-browser, same #CSS (≤20 declarations) should work when changing their number/ gap.

Try to code it yourself before checking my solution https://www.reddit.com/r/Frontend/comments/1oi4dfe/comment/nlzvlry/

Live on @codepen: https://codepen.io/thebabydino/pen/ZYQjZwq

#Maths #geometry #trigonometry #code #cssMaths #coding #frontend #cssLayout #webDev #webDevelopment #web #dev #cssGrid #cssTransform #cssVariables

Because someone just hearted this... here's one of my earlier @codepen demos using CSS trigonometric functions https://codepen.io/thebabydino/pen/ExePBZp

#CSS #Maths #trigonometry #cssMaths #web #dev #webDevelopment #webDev #code #coding #frontend