Radians

Radian Measure

An angle measurement where one radian equals the angle subtended by an arc equal in length to the radius.

Technical Detail

Radians functions relate angles to side ratios in right triangles. In computing, angles are typically in radians (π radians = 180°). Key identities: sin²θ + cos²θ = 1, sin(2θ) = 2sinθcosθ. Applications include wave generation (audio synthesis), rotation transforms (2D/3D graphics), signal processing (Fourier analysis), and geolocation (haversine formula for great-circle distance). JavaScript's Math.sin() expects radians, so convert degrees with: radians = degrees × π / 180.

Example

```
Trigonometric functions (right triangle):

  sin(θ) = opposite / hypotenuse
  cos(θ) = adjacent / hypotenuse
  tan(θ) = opposite / adjacent

  For a 30° angle:
  sin(30°) = 0.5,  cos(30°) ≈ 0.866,  tan(30°) ≈ 0.577

  Radians: 180° = π rad → degrees × π / 180 = radians
```

Related Terms

Bayes' Theorem Big O Notation Binomial Distribution Boolean Algebra Combination Complex Number Correlation Cross Product

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Radians

Technical Detail

Example

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