Let $\mathbf{R}$ be the matrix for rotating about the origin counter-clockwise by an angle of $58^\circ.$  Find $\det \mathbf{R}.$
Question:
Let $\mathbf{R}$ be the matrix for rotating about the origin counter-clockwise by an angle of $58^\circ.$  Find $\det \mathbf{R}.$
Answer:
Let's think step by step.

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Let $\mathbf{R}$ be the matrix for rotating about the origin counter-clockwise by an angle of $58^\circ.$  Find $\det \mathbf{R}.$
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