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Trigonometry and Applications
Motivation #1
Our character movements so far:
Other types of movement:
Motivation #2
Making things point towards a point.
…we'll see that there are many more applications than these, but they'll be the first we tackle.
Section I: Abstract math (trig)
"Trigonometry": [Greek, "triangle measuring"]
Angles: Degrees & Radians (and conversions) As rotation and orientation Quadrants Supplementary angles
Section II: Polar vs. Rectangular (Euclidean) coordinate systems
Definitions: Origin Offsets Polar coordinates.
Differences and similarities between them.Conversions between coordinate systems
Polar => Euclidean Euclidean => Polar
"Negative distances" (and complementary angles)
Section III: Applications
Polar => Rectangular Moving forward at any angle. Drawing a "rotate-able" object
Rectangular => Polar Tracking a point
Section IV: Vectors and some basic physics
Position and velocity as (Euclidean) vectorsIncorporating Newton's 2nd law.Basic integration
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