Public learning track
Geometric Trigonometry: Triangle Laws, Bearings, and Navigation
12th Grade · Math · Open Global Math
5 lessons
Goal
Solve general non-right triangles using the Law of Sines, Law of Cosines, and area formulas, applying them to complex surveying, bearing, and navigational problems.
Featured Diagrams
The Law of Sines and the Ambiguous SSA Case
5 lessons
0 of 5 done
- 1The Law of Sines and the Ambiguous SSA CaseUp nextStart
- 2The Law of Cosines for SAS and SSS TrianglesPremiumNot started yet
- 3Triangle Area via Sine Formula and Heron's FormulaNot started yet
- 4Three-Figure Bearings and Navigational TriangulationNot started yet
- 5Three-Dimensional Trigonometric Surveying and Elevation ProblemsNot started yet
Curriculum Framework
12th Grade · Math · Open Global Math
1
6 lessons
Circular Trigonometry, Radians, and Rotational Kinematics
Master radian measure, circular sector geometry, unit circle evaluations, and angular-to-linear velocity kinematics.
2
6 lessons
Reciprocal and Inverse Trigonometric Functions: Graphs, Domains, and Inverses
Analyze, graph, and evaluate reciprocal trigonometric functions and inverse trigonometric functions under restricted domains.
3
7 lessons
Analytic Trigonometric Identities and Harmonic Conversions
Construct formal algebraic proofs for fundamental, compound angle, and double angle identities, and convert linear combinations to harmonic forms.
4
7 lessons
Trigonometric Equations and General Solutions
Solve linear, quadratic-type, compound-argument, and harmonic trigonometric equations over restricted intervals and general domains.
5
5 lessons
Geometric Trigonometry: Triangle Laws, Bearings, and Navigation
Solve general non-right triangles using the Law of Sines, Law of Cosines, and area formulas, applying them to complex surveying, bearing, and navigational problems.
6
5 lessons
Small-Angle Approximations and Periodic Physical Modeling
Apply Taylor small-angle approximations to physics equations and fit sinusoidal models to real-world periodic phenomena.