Public learning track
Graphs and Transformations of Trigonometric Functions
11th Grade · Math · Open Global Math
8 lessons
Goal
Analyze, graph, and interpret the primary and reciprocal trigonometric functions under vertical and horizontal transformations.
Featured Diagrams
Graphing Parent Sine and Cosine Functions
8 lessons
0 of 8 done
- 1Graphing Parent Sine and Cosine FunctionsUp nextStart
- 2Amplitude and Vertical Shifts of Sinusoidal FunctionsPremiumNot started yet
- 3Period, Frequency, and Horizontal Scaling of Trig GraphsNot started yet
- 4Phase Shifts and Horizontal Translations in Sinusoidal GraphsNot started yet
- 5Graphing and Analyzing the Tangent FunctionNot started yet
- 6Graphing the Secant and Cosecant FunctionsNot started yet
- 7Graphing the Cotangent FunctionNot started yet
- 8Writing Trigonometric Equations from GraphsNot started yet
Curriculum Framework
11th Grade · Math · Open Global Math
1
9 lessons
Radian Measure, the Unit Circle, and Small-Angle Approximations
Master radian angle measure, arc length, sector area, exact trigonometric values, and small-angle approximations.
2
8 lessons
Graphs and Transformations of Trigonometric Functions
Analyze, graph, and interpret the primary and reciprocal trigonometric functions under vertical and horizontal transformations.
3
7 lessons
Inverse Trigonometric Functions and Graphs
Understand domain restrictions, graph inverse trigonometric functions, and evaluate compositions of trigonometric and inverse trigonometric functions.
4
8 lessons
Trigonometric Identities and Harmonic Forms
Prove and apply fundamental, Pythagorean, compound-angle, and double-angle identities, and convert linear combinations into harmonic form.
5
8 lessons
Solving Trigonometric Equations and Systems
Solve linear, quadratic, multiple-angle, and harmonic trigonometric equations both algebraically and graphically over defined domains.
6
6 lessons
Periodic Modeling and Trigonometric Applications
Model real-world cyclical and oscillatory phenomena using sinusoidal functions and solve applied contextual problems using inverse trigonometric functions.