Rotation of Axes (Ellipse)

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This video will show how to determine the equation of an ellipse after being rotated 30 degrees from the horizontal.
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Thankyou so much. was trying to find the equation to rotate an oval and couldn't find it anywhere until I came across this.

Kage
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This was insanely useful, thank you sir.

bltzwulf
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What is the formula for the rotated ellipse with cos and sines?

bobu
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It was helpful but could you please explain that how could you represent y=(1/√3)x and other same for axes from where and you derive it

sanabilal