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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