The Trig Toolbox — Functions, Symmetries, and Core Identities
A second-lecture guide to defining the six trigonometric functions on the unit circle, mastering signs by quadrant, periodicity and symmetry, and building the core identity toolkit: Pythagorean, cofunction,…
Foundations — Radian Measure, Standard Position, and the Unit Circle
A first-lecture deep dive into how we measure angles in radians, convert between degrees and radians, place angles in standard position, and use arc length and sector area formulas on the (unit) circle. Includes worked…
Sequences and Their Limits — Definitions, Intuition, Arithmetic/Geometric Patterns, and a Linear Recurrence. We define sequences, unpack the intuition of limits, analyze four model examples, develop arithmetic and…
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