Unit circle, trigonometric functions, identities, and equations
This section contains 12 topics with 0 subtopics, 28 practice problems and 51 flashcards. Each topic includes comprehensive written notes, worked examples with detailed solutions, and interactive lessons for hands-on practice.
Topics Covered
- Unit Circle and Radian Measure (Combined - See Split Topics) — This topic has been split into three focused topics: Degrees and Radians, Arc Length and Sector Area, and The Unit Circle.
- Degrees and Radians — Learn how to convert between degrees and radians, and understand radian measure.
- Trigonometric Identities — Fundamental trigonometric identities including Pythagorean, reciprocal, quotient, and even-odd identities
- Arc Length and Sector Area — Calculate arc lengths and sector areas using radian measure.
- The Unit Circle — Master the unit circle, special angles, reference angles, and the CAST rule.
- Negative and Coterminal Angles — Understand negative angles and coterminal angles, and learn how to find them.
- Sum and Difference Identities — Use sum and difference formulas for trig functions
- Graphing Trigonometric Functions — Graph sine, cosine, and tangent functions and understand transformations including amplitude, period, phase shift, and vertical shift.
- Solving Trigonometric Equations — Solve trigonometric equations using algebraic techniques, inverse functions, and the unit circle.
- Double Angle and Half Angle Identities — Apply double and half angle formulas
- Inverse Trigonometric Functions — Understand inverse trigonometric functions, their domains, ranges, and how to evaluate and use them to solve equations.
- Law of Sines and Law of Cosines — Apply the Law of Sines and Law of Cosines to solve oblique triangles and find missing sides and angles.
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