Public learning track
Non-Right Triangles: Law of Sines, Law of Cosines, and Area
10th Grade · Math · Open Global Math
10 lessons
Goal
Derive and apply the Law of Sines, Law of Cosines, and the sine area formula to solve oblique triangles in navigation, surveying, and vector modeling.
Featured Diagrams
Calculating Triangle Area Using Sine
10 lessons
0 of 10 done
- 1Calculating Triangle Area Using SineUp nextStart
- 2Deriving and Applying the Law of Sines for Sides and AnglesPremiumNot started yet
- 3The Ambiguous Case of the Law of Sines (SSA)Not started yet
- 4Deriving and Applying the Law of Cosines for Side LengthsNot started yet
- 5Using the Law of Cosines to Find Unknown AnglesNot started yet
- 6Choosing Strategies Between Law of Sines and Law of CosinesNot started yet
- 7Navigational Bearings and Oblique TrianglesNot started yet
- 8Surveying and Triangulation ModelingNot started yet
- 9Resolving Vectors Using Sine and CosineNot started yet
- 10Using Vectors to Model Real-World SituationsNot started yet
Curriculum Framework
10th Grade · Math · Open Global Math
1
10 lessons
Right Triangle Trigonometry and Exact Values
Apply trigonometric ratios, complementary angle relationships, exact special right triangle values, and 2D/3D geometric reasoning to solve right triangles in applied contexts.
2
10 lessons
Non-Right Triangles: Law of Sines, Law of Cosines, and Area
Derive and apply the Law of Sines, Law of Cosines, and the sine area formula to solve oblique triangles in navigation, surveying, and vector modeling.
3
6 lessons
Radian Measure, Arc Length, and Sector Area
Define radians through arc length proportionality, derive sector and segment area formulas, and solve rotational and circular motion problems.
4
8 lessons
Unit Circle Analysis and Arbitrary Angles
Extend trigonometric functions to all real numbers using standard position, reference angles, quadrant signs, and Pythagorean identities on the unit circle.
5
8 lessons
Modeling Periodic Phenomena with Trigonometric Functions
Graph transformed sine and cosine functions and build sinusoidal models for real-world cyclical behavior including tides, temperatures, and harmonic motion.