Trigonometric Functions

Unit circle, trigonometric functions, identities, and equations

This section contains 12 topics with 0 subtopics, 28 practice problems and 76 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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