Sine and cosine
In mathematics, sine and cosine are trigonometric functions of an angle.
At a glance
Key signals
33% cross fields · reaches 5 more
- Mathematics
- Geometry
- Explanation
- Examples
- Misconception
- Sourced relations 3
- Attribution
Dependencies
What this concept builds on and what it makes possible — derived from the atlas’s dependency, causal and structural relations, not from every related edge.
Enables · leads to
Trigonometrydepends onSine and cosineEstablished
trigonometry depends on sine and cosine.
Mechanism: Trigonometry rests on sine and cosine: these functions link a triangle's angles to the ratios of its sides.
- Wikipedia (English & German editions) verifiedmoderate evidence
System context
Sine and cosineis aFunctionEstablished
sine and cosine is a kind of function.
Mechanism: Sine and cosine are functions of an angle: they return the coordinates of a point moving around the unit circle.
- Wikipedia (English & German editions) verifiedmoderate evidence
Structural role & consequence
Interpreted from the current atlas graph — what the connections mean, not just how many there are.
33% of its relationships cross field boundaries, reaching 5 other disciplines — unusual in a discipline where most concepts stay within their field.
structural · Structural graph analysis — not a claim of importance, causation or history.
Currently dark in the atlas: no key date stored · 3 of 3 of its relations lack claim-level evidence.
atlas representation · Describes the current Thinking OS representation, not the state of the world.
Exercises 2 annotated mental models — a concept that connects several thinking patterns.
curated · Curated annotations, not a derived measure.
Structural neighbourhood: 3 → 27 → 96 concepts reachable within 3 hops.
structural · Structural reach — being reachable is not the same as being understood.
cross-field
2 within-field, 1 cross-field
Strengths & constraints
Constraints
- Evidence coverage currently thin in the atlas — few of its relationships carry claim-level evidence. atlas representation
- No dated history stored — the atlas records no key date for this concept. atlas representation
Conditions
- Read structurally — most of its relationships carry no external evidence yet, so claims here are graph-derived. structural
Dependency radial
What this concept builds on (left) and what it makes possible (right) — derived from dependency and causal relations.
What builds on this
1 concept build on this directly, 1 in total, across 2 disciplines.
Structural downstream reach along dependency edges — not a claim of historical necessity.
Seen through each discipline
How this concept sits in each of its fields — derived from its real connections in the graph, not asserted.
Through this lens it connects to Function and Trigonometry.
Related ideas to explore
Concepts that look related but are not yet connected here — candidates for a connection to reason about, not established links.
This idea also appears in…
The same structure shows up in other disciplines. These are real recurrences drawn from the graph — a starting point for asking “what carries over, and what changes?”
Oscillation23 disciplines · 22 concepts
Waves21 disciplines · 20 concepts
Concepts
shares a mental model · shares a mental model
shares a mental model · shares a mental model
shares a mental model · shares a mental model
shares a mental model · crosses a discipline boundary
shares a mental model
shares a mental model
Mental models at work here
Oscillation
A repeated back-and-forth movement around a central value. How often it repeats is its frequency; how far it swings is its amplitude.
Look for something that keeps returning to where it started: a swing, a heartbeat, a vibrating string.
Waves
A disturbance that travels and carries energy from place to place without carrying the material itself along with it.
The wave moves; the stuff it moves through mostly stays put — like a ripple crossing a pond.
- Connects 3 other ideas across 2 disciplines.
- A cross-disciplinary bridge — its connections reach into 5 other fields.
- Most of its connections are of the “Kind & structure” kind.
- It exercises 2 reusable thinking patterns.
Derived from the graph’s real structure — observations, not a score.
Sources
- Wikipedia (English & German editions) verifiedmoderate evidence
- Wikidata verifiedmoderate evidence