2D Rotation Matrix Representation

00:00 2 marks

  • Build Confidence
  • HL
  • Tier 1
  • Trigonometric functions
  • 2D rotation
  • Matrix transformation

Express the 2D rotation transformation by an angle \(\theta\) about the origin in matrix form. Clearly write out the matrix with the appropriate trigonometric functions.

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Hint

Recall the standard form of a 2D rotation matrix involves cosine and sine of the angle.

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Complete Answer

The rotation matrix is \(\begin{pmatrix}\cos \theta & -\sin \theta \\ \sin \theta & \cos \theta\end{pmatrix}\).

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