.. _auto_matrix_createcosinefromeulerangles:

*MATRIX CREATECOSINEFROMEULERANGLES*
====================================

Constructs a 3×3 direction cosine matrix (DCM) from three Euler rotation angles supplied in radians. Use this worker whenever a coordinate-frame transformation matrix is needed from a sequence of three successive rotations about body or world axes.

When to use
-----------

Classification: **process**.

Tagged: ``3x3``, ``coordinate_transform``, ``dcm``, ``direction_cosine_matrix``, ``euler_angles``, ``matrix``, ``radians``, ``rotation``.

Inputs
------

.. list-table::
   :header-rows: 1
   :widths: 20 20 20 20 20 20

   * - Label
     - ID
     - Type
     - Default
     - Required
     - Description
   * - Angle 1
     - angle1
     - float
     - 0
     - 
     - Rotation angle about the first Euler axis, in radians (float); defaults to 0.0, meaning no rotation about this axis.
   * - Angle 2
     - angle2
     - float
     - 0
     - 
     - Rotation angle about the second Euler axis, in radians (float); defaults to 0.0, meaning no rotation about this axis.
   * - Angle 3
     - angle3
     - float
     - 0
     - 
     - Rotation angle about the third Euler axis, in radians (float); defaults to 0.0, meaning no rotation about this axis.

Outputs
-------

.. list-table::
   :header-rows: 1
   :widths: 20 20 20 20

   * - Label
     - ID
     - Type
     - Description
   * - matrix_createcosinefromeulerangles_output_1
     - matrix_createcosinefromeulerangles_output_1
     - matrix
     - 3×3 direction cosine (rotation) matrix computed from the three input Euler angles; use this matrix to transform vectors or coordinates between the original and rotated reference frames.

Disciplines
-----------

- data.units
- engineering.multibody
- engineering.structures

.. raw:: html

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   <p style="font-size:11px;color:#888">
   Auto-generated from <code>transformation</code> schema. Worker id: <code>matrix_createcosinefromeulerangles</code>. Schema hash: <code>519e70167097</code>. Hand-curated docs in <code>workerexamples/</code> override this page when present.
   </p>