Questions tagged [trigonometry]
For challenges where trigonometry plays an important role.
37 questions
9
votes
4
answers
224
views
Finding Chord Segments with Integer Length
A math teacher wants to give his students an interesting geometry problem.
He has the following idea (Fig. 1):
Let \$AB\$ and \$CD\$ be two chords of a circle with center \$M\$, intersecting
...
- 3,570
47
votes
52
answers
10k
views
A single pixel moving in a circular path
This is a graphical output challenge where the task is to give the shortest code per language.
Task
Your code should plot a single purple pixel (hex value #800080 or
rgb(128, 0, 128)), moving ...
user9206
36
votes
45
answers
6k
views
The Pedant's Cosine
My boss just told me to write a cosine function. Being a good math geek, my mind immediately conjured the appropriate Taylor Series.
$$\cos(x) = \frac 1 {0!} - \frac {x^2} {2!} + \frac {x^4} {4!} - \...
- 3,162
9
votes
8
answers
1k
views
Inverse trigonometric functions
There are 3 (commonly used) trigonometric functions sin cos and tan each of these functions ...
- 6,105
36
votes
22
answers
6k
views
Draw a graph of \$y=(-n)^x\$
Challenge
Given an input of an integer, \$n\$ (where \$0<n<50\$), output the graph of \$y=\mathrm{Re}((-n)^x)\$ from \$x = -3\$ to \$x = 3\$ inclusive.
Where \$\mathrm{Re}(p)\$ is the real part ...
- 23.7k
20
votes
9
answers
2k
views
Cutting a Circular Pizza Vertically
Most people would cut circular pizzas into circular sectors to divide them up evenly, but it's also possible to divide them evenly by cutting them vertically like so, where each piece has the same ...
- 4,310
26
votes
25
answers
3k
views
Approximate the Dottie number to arbitrary precision
The Dottie number is the fixed point of the cosine function, or the solution to the equation cos(x)=x.1
Your task will be to make code that approximates this constant. Your code should represent a ...
- 104k
33
votes
15
answers
4k
views
Black Box Trigonometry
Write a program or function that can distinguish the following 12 trigonometric functions: sin,
cos,
...
- 26.5k
15
votes
9
answers
1k
views
Ptolemy's table of chords
Ptolemy's Almagest contains a table of chords that effectively served as the world's only comprehensive trigonometric table for over a millennium. In modern form it looks like this:
\begin{array}{|l|...
- 4,749
24
votes
29
answers
10k
views
Draw a regular polygon
The goal of this code golf is to draw a regular polygon (one with equal side lengths) given the number of sides and radius (distance from center to vertex).
The number of sides and the radius can be ...
- 923
14
votes
18
answers
3k
views
Find the angle between two points
Given two points A and B, find the angle from line AO to line ...
- 467
25
votes
11
answers
2k
views
Perimeter of Conway hexagon
Background
Given a triangle \$ABC\$, extend its three sides by the opposite side length, as shown in the figure below. Then the six points surprisingly lie on a circle called the Conway circle, whose ...
- 79.5k
21
votes
18
answers
5k
views
Let the trigonometry begin!
Introduction:
The sine of \$x\$ is given by the formula:
$$\sin(x) = x - \frac {x^3}{3!} + \frac {x^5}{5!} - \frac {x^7}{7!} + \frac {x^9}{9!} - \frac {x^{11}}{11!} + \cdots$$
The cosine of \$x\$ is ...
- 887
25
votes
14
answers
3k
views
Are my triangles similar?
Given (in any structure; flat list, two lists of lists, a tuple of matrices, a 3D array, complex numbers,…) the coordinates for two non-degenerate triangles ...
- 31.9k
14
votes
21
answers
3k
views
Distance between two points on the Moon
Given latitude/longitude of two points on the Moon (lat1, lon1) and (lat2, lon2), compute the distance between the two points in ...
- 3,062