How to Rotate a Line by Any Angle | Coordinate Transformation & Trig Method
Автор: Math and Engineering Made Easy
Загружено: 2026-01-26
Просмотров: 4
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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#RotationOfGraphs
#Trigonometry
#MathMadeEasy
#EngineeringMath
#Precalculus
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#RotateALine
#LinearEquations
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