Questions tagged [trigonometry]
For challenges where trigonometry plays an important role.
37 questions
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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
...
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47
votes
52
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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 ...
- 3,948
36
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45
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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!} - \...
- 4,354
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8
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Compute the Discrete Cosine Transform
Implement the Discrete Cosine Transform (DCT). This may implemented as either a function or a program and the sequence can be given as either an argument or using standard input. Your program must be ...
- 1,025
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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 ...
- 12.1k
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Inverse trigonometric functions
There are 3 (commonly used) trigonometric functions sin cos and tan each of these functions ...
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22
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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 ...
- 2,138
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Black Box Trigonometry
Write a program or function that can distinguish the following 12 trigonometric functions: sin,
cos,
...
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Find the angle between two points
Given two points A and B, find the angle from line AO to line ...
- 3,570
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2
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851
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Expand Sine and Cosine
Trigonometry has LOTS of identities. So many that you can expand most functions into sines and cosines of a few values. The task here is to do that in the fewest bytes possible.
Identity list
Well, ...
- 9,189
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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 ...
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Matrix Trigonometry
Introduction
The two most common trigonometric functions, sine and cosine (or sin and ...
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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
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3
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932
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Finding Exclusive Area in Circle Intersections
Here's a deceptively challenging geometry puzzle for you!
Given a circle A, and n other circles ...
- 3,448
15
votes
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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|...
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