Скачать или смотреть How to Rotate a Line by Any Angle | Coordinate Transformation & Trig Method

In this lesson, we continue our discussion on rotation of graphs, focusing specifically on rotating the equation of a straight line by any angle using trigonometric coordinate transformations.

Instead of rotating individual points, we show how to rotate the entire equation directly, which is faster, cleaner, and essential for more advanced curves like parabolas, ellipses, and hyperbolas.

You will learn:

How to rotate a line clockwise and counterclockwise

How to apply coordinate transformation formulas

How to derive the new equation after rotation

Why rotating axes is easier than rotating points

How to verify results using slopes and angles

📌 Key Topics Covered:

Rotation of axes

Coordinate transformation

Trigonometric identities

Equation of a rotated line

Analytical geometry

Precalculus & calculus foundations

This method is critical for engineering mechanics, calculus, analytic geometry, and physics applications.

💬 Feel free to leave a comment if you'd like more examples or practice problems!

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