trigonometry topics in WeBWorK's OPL Taxonomy Trigonometry Analytic Trigonometry Addition and Subtraction Formulas Double and Half Angle Formulas Double- and Half-Angle/Product-Sum Formulas Inverse Trigonometric Functions Proving Identities Trigonometric Equations Trigonometric Functions of Angles Trigonometric Identities Circular Definition for Trig functions Arc Length and Area Reference Angles and Radian Measure Right Triangle Trigonometry Applications to Right Triangles Definition using Triangles Right Triangles Trigonometric Equations Solving Equations Trigonometric Functions of Angles Angle Measure The Law of Cosines The Law of Sines Trigonometric Functions of Angles Trigonometry of Right Triangles Trigonometric Functions of Real Numbers Hyperbolic Functions The Unit Circle Trigonometric Functions of Real Numbers Trigonometric Graphs Trigonometric functions Graphs Of The Sine And Cosine Introduction to Periodic Functions Inverse Trigonometric Functions Other Trigonometric Functions Radians Review Exercises and Problems Sinusoidal Functions The Sine And Cosine Functions Trigonometry Sum and Difference Formulas for Sine and Cosine Trigonometric Identities ------------------------------------------------------------ Core Subject Taxonomy for Mathematical Sciences Education http://www.maa.org/publications/periodicals/loci/joma/subject-taxonomy http://people.uncw.edu/hermanr/MathTax/ http://people.uncw.edu/hermanr/MathTax/Taxonomy0405.pdf http://mathforum.org/mathnsdl/taxonomy.html 5.9.1 Angles 5.9.2 Trigonometric Functions 5.9.3 Inverse Trigonometric Functions 5.9.4 Trigonometric Identities 5.9.5 Trigonometric Equations 5.9.6 Roots of Unity 5.9.7 Spherical Trigonometry ------------------------------------------------------------ https://www.math.duke.edu/education/mathnsdl/MathTaxon.html Trigonometry Angle Sum Formulas Functions Identities ============================================================ trigonometry topics in Functions Modeling Change, 4ed 7 >>> Trigonometric in Circles and Triangles 7.1 >>> Introduction to Periodic Functions 7.2 >>> The Sine and Cosine Functions 7.3 >>> Graphs of Sine and Cosine 7.4 >>> The Tangent Function 7.5 >>> Right Triangles: Inverse Trigonometric Functions 7.6 >>> Non-Right Triangles 8 >>> The Trigonometric Functions 8.1 >>> Radians and Arc Length 8.2 >>> Sinusoidal Functions and Their Graphs 8.3 >>> Trigonometric Functions: Relationships and Graphs 8.4 >>> Trigonometric Equations and Inverse Functions 8.5 >>> Polar Coordinates 8.6 >>> Complex Numbers and Polar Coordinates 9 >>> Trigonometric Identities and Their Applications 9.1 >>> Identities, Expressions and Equations 9.2 >>> Sum and Difference Formulas for Sine and Cosine 9.3 >>> Trigonometric Models ------------------------------------------------------------ trigonometry topics in Stewart-Redlin-Watson 5 5 >>> Trigonometric Functions of Real Numbers 5.1 >>> The Unit Circle 5.2 >>> Trigonometric Functions of Real Numbers 5.3 >>> Trigonometric Graphs 5.4 >>> More Trigonometric Graphs 5.5 >>> Modeling Harmonic Motion 6 >>> Trigonometric Functions of Angles 6.1 >>> Angle Measures 6.2 >>> Trigonometry of Right Triangles 6.3 >>> Trigonometric Functions of Angles 6.4 >>> The Law of Sines 6.5 >>> The Law of Cosines 7 >>> Analytic Trigonometry 7.1 >>> Trigonometric Identities 7.2 >>> Addition and Subtraction Formulas 7.3 >>> Double-Angle, Half-Angle, and Sum-Product Formulas 7.4 >>> Inverse Trigonometric Functions 7.5 >>> Trigonometric Equations 8 >>> Polar Coordinates and Vectors 8.1 >>> Polar Coordinates 8.2 >>> Graphs of Polar Equations 8.3 >>> Polar Form of Complex Numbers; DeMoivre's Theorem 8.4 >>> Vectors 8.5 >>> The Dot Product ------------------------------------------------------------ trigonometry topics in Sullivan - Precalculus, 9ed 6 Trigonometric Functions 6.1 Angles and Their Measure 6.2 Trigonometric Functions: Unit Circle Approach 6.3 Properties of the Trigonometric Functions 6.4 Graphs of the Sine and Cosine Functions 6.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions 6.6 Phase Shift; Sinusoidal Curve Fitting 7 Analytic Trigonometry 7.1 The Inverse Sine, Cosine, and Tangent Functions 7.2 The Inverse Trigonometric Functions (continued) 7.3 Trigonometric Equations 7.4 Trigonometric Identities 7.5 Sum and Difference Formulas 7.6 Double-angle and Half-angle Formulas 7.7 Product-to-Sum and Sum-to-Product Formulas 8 Applications of Trigonometric Functions 8.1 Right Triangle Trigonometry: Applications 8.2 Law of Sines 8.3 Law of Cosines 8.4 Area of a Triangle 8.5 Simple Harmonic Motion; Damped Motion; Combining Waves 9 Polar Coordinates; Vectors 9.1 Polar Coordinates 9.2 Polar Equations and Graphs 9.3 The Complex Plane; DeMoivre's Theorem 9.4 Vectors 9.5 The Dot Product 9.6 Vectors in Space 9.7 The Cross Product ------------------------------------------------------------ trigonometry topics in Young (Algebra & Trig, 2ed) 6 Trigonometric Functions 6.1 Angles, Degrees, and Triangles 6.2 Definition 1 of Trigonometric Functions: Right Triangle Ratios 6.3 Applications of Right Triangle Trigonometry: Solving Right Triangles 6.4 Definition 2 of Trigonometric Functions: Cartesian Plane 6.5 Trigonometric Functions of Non-Acute Angles 6.6 Radian Measure and Applications 6.7 Definition 3 of Trigonometric Functions: Unit Circle Approach 6.8 Graphs of Sine and Cosine Functions 6.9 Graphs of Other Trigonometric Functions 7 Analytic Trigonometry 7.1 Basic Trigonometric Identities 7.2 Verifying Trigonometric Identities 7.3 Sum and Difference Identities 7.4 Double-Angle Identities 7.5 Half-Angle Identities 7.6 Product-to-Sum and Sum-to-Product Identities 7.7 Inverse Trigonometric Functions 7.8 Trigonometric Equations 8 Additional Topics in Trigonometry 8.1 Oblique Triangles and The Law of Sines 8.2 The Law of Cosines 8.3 Area of a Triangle 8.4 Vectors 8.5 Dot Product 8.6 Polar (Trigonometric) Form of Complex Numbers 8.7 Products, Quotients, Powers and Roots of Complex Numbers   8.8 Polar Equations and Graphs ------------------------------------------------------------ trigonometry topics in Larson - Precalculus, 9ed 4 Trigonometry 4.1 Radian and Degree Measure 4.2 Trigonometric Functions: The Unit Circle 4.3 Right Triangle Trigonometry 4.4 Trigonometric Functions of Any Angle 4.5 Graphs of Sine and Cosine Functions 4.6 Graphs of Other Trigonometric Functions 4.7 Inverse Trigonometric Functions 4.8 Applications and Models 5 Analytic Trigonometry 5.1 Using Fundamental Identities 5.2 Verifying Trigonometric Identities 5.3 Solving Trigonometric Equations 5.4 Sum and Difference Formulas 5.5 Multiple-Angle and Product-to-Sum Formulas 6 Additional Topics in Trigonometry 6.1 Law of Sines 6.2 Law of Cosines 6.3 Vectors in the Plane 6.4 Vectors and Dot Products 6.5 Trigonometric Form of a Complex Number 10 Topics in Analytic Geometry 10.7 Polar Coordinates 10.8 Graphs of Polar Equations 10.9 Polar Equations of Conics ------------------------------------------------------------ trigonometry topics in Axler - Algebra & Trigonometry 9 Trigonometric Functions 9.1 The Unit Circle 9.2 Radians 9.3 Cosine and Sine 9.4 More Trigonometric Functions 9.5 Trigonometry in Right Triangles 9.6 Trigonometric Identities 10 Trigonometric Algebra and Geometry 10.1 Inverse Trigonometric Functions 10.2 Inverse Trigonometric Identities 10.3 Using Trigonometry to Compute Area 10.4 The Law of Sines and the Law of Cosines 10.5 Double-Angle and Half-Angle Formulas 10.6 Addition and Subtraction Formulas 11 Applications of Trigonometry 11.1 Parametric Curves 11.2 Transformations of Trigonometric Functions 11.3 Polar Coordinates 11.4 Vectors 11.5 The Complex Plane ------------------------------------------------------------ trigonometry topics in Foerster - Precalculus with Trig 2 Periodic Functions and Right Triangle Problems 2.1 Introduction to Periodic Functions 2.2 Measurement of Rotation 2.3 Sine and Cosine Functions 2.4 Values of the Six Trigonometric Functions 2.5 Inverse Trigonometric Functions and Triangle Problems 3 Applications of Trigonometric and Circular Functions 3.1 Sinusoids: Amplitude, Period, and Cycles 3.2 General Sinusoidal Graphs 3.3 Graphs of Tangent, Cotangent, Secant, and Cosecant Functions 3.4 Radian Measure of Angles 3.5 Circular Functions 3.6 Inverse Circular Relations: Given y, Find x 3.7 Sinusoidal Functions as Mathematical Models 4 Trigonometric Function Properties, Identities, and Parametric Functions 4.1 Introduction to the Pythagorean Property 4.2 Pythagorean, Reciprocal, and Quotient Properties 4.3 Identities and Algebraic Transformation of Expressions 4.4 Arcsine, Arctangent, Arccosine, and Trigonometric Equations 4.5 Parametric Functions 4.6 Inverse Trigonometric Relation Graphs 5 Properties of Combined Sinusoids 5.1 Introduction to Combinations of Sinusoids 5.2 Composite Argument and Linear Combination Properties 5.3 Other Composite Argument Properties 5.4 Composition of Ordinates and Harmonic Analysis 5.5 The Sum and Product Properties 5.6 Double and Half Argument Properties 6 Triangle Trigonometry 6.1 Introduction to Oblique Triangles 6.2 Oblique Triangles: Law of Cosines 6.3 Area of a Triangle 6.4 Oblique Triangles: Law of Sines 6.5 The Ambiguous Case 6.6 Vector Addition 6.7 Real-World Triangle Problems ============================================================ trigonometry topics in ASU-topics part of OPL AnglesEtc PolarCoordinates RightAngleTrig Trig Applications Trig Equations Trig Graphs Trig Identities Trig Inverse Trig Relations UnitCircle ------------------------------------------------------------ trigonometry topics in NAU part of OPL GraphSinCos LawOfSines SineCosine Trig Algebra Trig Angles Trig Equations Trig HalfDouble Trig Identity Trig Inverse Trig OtherFunctions Trig RightTriangle Trig SumDiff ------------------------------------------------------------ trigonometry topics in Rochester part of OPL Trig 01 Angles Trig 02 FunctionsUnitCircle Trig 03 FunctionsRightAngle Trig 04 FunctionsAnyAngle Trig 05 Graphs Trig 06 Inverses Trig 07 Identity Trig 08 Equations Trig 09 Laws Trig 10 Hyperbolic Trig 11 OtherAppl ------------------------------------------------------------ trigonometry topics in Union part of OPL Trig BasicValues Trig Equations Trig Graphs Trig Identities Trig InverseTrig Trig Triangles ------------------------------------------------------------ trigonometry topics in maCalcDB part of OPL Trigonometry 3 WordProblems Trigonometry 4 Inverse ------------------------------------------------------------ OPL / MC / Trigonometry 70+ problems, descriptive names OPL / Utah / Trigonometry 13 directories, minimal detail ------------------------------------------------------------ trigonometry "model course" (on MAA site) John Travis @ Mississippi College Unit 1 - Definition of Trigonometric Functions using Degrees Angles and Triangles Trig functions of Angles in standard position Basic Trig Identities and using Calculators Unit 2 - Right Triangle Trigonometry Trig Functions and Right Triangles Basic Applications of Trig Functions Unit 3 - Radian measure and Trigonometric Functions on the Unit Circle Radian Measure and Reference Angles Trig Functions and the Unit Circle Unit 4 - Graphs of Trig Functions Graphs of Trig Functions]] More Application of Trig Functions Inverse Trig functions Unit 5 - Identities and Trig Formulas Sum and Difference Identities Product and other Identities Unit 6 - Trigonometric Equations Equations involving a Single Angle Equations involving Multiple Angles Unit 7 - General Triangle Trigonometry Law of Sines with Applications Law of Cosines with Applications Unit 8 - Trigonometry with Complex Numbers and Polar Coordinates Complex numbers and Trigonometry]] Polar Coordinates Parametric Equations Conic Sections