Geometry - Rotation

> Geometry (Spatial, Linear Algebra)

1 - About

Rotation is a geometric transformation and can be applied through the following transformation matrix

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3 - Rotation by

3.1 - 90 degrees

<math> M = \begin{bmatrix} 0 & -1 \\ 1 & 0 \end{bmatrix} </math>

3.2 - <math>\theta</math> radians

<math> M = \begin{bmatrix} cos(\theta) & -sin(\theta) \\ sin(\theta) & cos(\theta) \end{bmatrix} </math>

180 degrees = <math>\pi</math> radians

Identity: <math>sin^2(\theta) + cos^2(\theta) = 1 \text{ for all } \theta</math>

4 - Documentation / Reference