Public learning track
Right Triangle Trigonometry and Exact Values
10th Grade · Math · Open Global Math
10 lessons
Goal
Apply trigonometric ratios, complementary angle relationships, exact special right triangle values, and 2D/3D geometric reasoning to solve right triangles in applied contexts.
Featured Diagrams
Introduction to Trigonometric Ratios: Sine, Cosine, Tangent
10 lessons
0 of 10 done
- 1Introduction to Trigonometric Ratios: Sine, Cosine, TangentUp nextStart
- 2Complementary Angles and Cofunction IdentitiesPremiumNot started yet
- 3Exact Trigonometric Ratios for 45-45-90 TrianglesNot started yet
- 4Exact Trigonometric Ratios for 30-60-90 TrianglesNot started yet
- 5Exact Trigonometric Values for Boundary Angles 0° and 90°Not started yet
- 6Finding Unknown Sides Using Sine, Cosine and TangentNot started yet
- 7Finding Unknown Angles Using Inverse Trigonometric RatiosNot started yet
- 8Angles of Elevation and Depression in Applied ProblemsNot started yet
- 9Solving Multi-Step 2D Right Triangle ProblemsNot started yet
- 10Solving Right Triangles in 3D Geometric SolidsNot 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.