OpenStax, Algebra and Trigonometry 2e §12.4 Rotation of Axes · Example 4 · Geometry · Conic sections

Finding a New Representation of an Equation after Rotating through a Given Angle

Find a new representation of the equation $2 x^{2} - x y + 2 y^{2} - 30 = 0$ after rotating through an angle of $θ = 45°.$

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OpenStax, Algebra and Trigonometry 2e · §12.4 Rotation of Axes · Example 4

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