Year 11 Specialist (Unit 1 & 2)
Transformations of the plane
Rotations and general reflections
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Questions
Question 1
195759
A rotation anticlockwise about the origin through an angle \(\theta\) is represented by a \(2\times 2\) matrix. Which matrix is it?
\(\begin{pmatrix} \cos\theta & -\sin\theta \\ \sin\theta & \cos\theta \end{pmatrix}\)
\(\begin{pmatrix} \cos 2\theta & \sin 2\theta \\ \sin 2\theta & -\cos 2\theta \end{pmatrix}\)
\(\begin{pmatrix} \cos\theta & \sin\theta \\ -\sin\theta & \cos\theta \end{pmatrix}\)
\(\begin{pmatrix} \sin\theta & \cos\theta \\ \cos\theta & -\sin\theta \end{pmatrix}\)
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