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TRIGONOMETRY ACADEMIC LIBRARY

Trigonometry Online

Trigonometry is a six-unit elective honors course for high school students who have successfully completed Algebra I, Geometry, and Algebra II. The materials cover a development of trigonometry from right triangle trigonometry to oblique triangles and the polar plane.

​Throughout the course, students will develop trigonometric formulas and use them in real-world applications, evaluate trigonometric proofs using complex trigonometric identities and solving trigonometric equations with regard to the unit circle.

The math academic libraries are not considered as a replacement for the online curriculum, the media presentations, and instruction with daily lessons which must be completed including daily quizzes and unit tests or help from your teacher, but a supplement to the curriculum for additional practice and instruction available 24/7.

Admission

Trigonometry Online

UNIT 1 – RIGHT TRIANGLE TRIGONOMETRY

  1. Course Overview
  2. Lengths of Sides
  3. Angle Measures
  4. Indirect Measure
  5. Quiz 1: Solving a Right Triangle
  6. Angles in the Coordinate Plane
  7. The Unit Circle
  8. Trigonometric Values of Special Angles
  9. Quiz 2: The Unit Circle and Special Angles
  10. Reciprocal Functions
  11. Points on the Terminal Side
  12. Pythagorean Identities
  13. Quiz 3: The Reciprocal Functions and Identities
  14. Radian Measure
  15. Reference Angles
  16. Velocity
  17. Quiz 4: Radian Measure
  18. Review
  19. Test
  20. Alternate Test
  21. Glossary and Credits

UNIT 2 – GRAPHING AND INVERSE FUNCTIONS

  1. Graphing and Amplitude
  2. Project: The Reciprocal Functions:Complete the assignment as a part of this project.
  3. Period and Frequency
  4. Vertical and Horizontal Translations
  5. Sinusoidal Functions
  6. Quiz 1: Graphing
  7. Inverse Functions
  8. Inverse Reciprocal Functions
  9. Trigonometric Equations: Part I
  10. ​Trigonometric Equations: Part II
  11. Quiz 2: Inverse Trigonometric Functions
  12. Review
  13. Test
  14. Alternate Test
  15. Glossary and Credits

UNIT 3 – ANALYTIC TRIGONOMETRY

  1. The Fundamental Trigonometric Identities
  2. Proving Identities
  3. Cosine Addition Formula
  4. Sine Addition Formula
  5. Tangent Addition Formula
  6. Quiz 1: Identities and Addition Formulas
  7. Double-Angle Formulas
  8. Half-Angle Formulas
  9. Converting Between Products and Sums
  10. Quiz 2: More Identities
  11. Review
  12. Test
  13. Alternate Test
  14. Glossary and Credits
UNIT 4 – TRIGONOMETRIC APPLICATIONS

  1. Law of Sines
  2. Ambiguity and Area of a Triangle
  3. Law of Cosines: Finding a Side
  4. Law of Cosines: Finding an Angle
  5. Quiz 1: Trigonometry of Oblique Triangles
  6. Introduction to Vectors
  7. Vector Components
  8. Navigation Application
  9. Vector Multiplication
  10. Quiz 2: Vectors
  11. Review
  12. Test
  13. Alternate Test
  14. Glossary and Credits

UNIT 5 – POLAR COORDINATES

  1. ​Introduction to Polar Coordinates
  2. Polar Equations
  3. Polar Curves
  4. Polar Forms of Conics
  5. Quiz 1: Polar Equations
  6. Polar Form of Complex Numbers
  7. Multiply and Divide Complex Numbers
  8. Powers and Nth Roots
  9. Project: Fractals: Complete the assignment associated with this project. 
  10. Quiz 2: Complex Numbers
  11. Review
  12. Test
  13. Alternate Test
  14. Glossary and Credits

UNIT 6 – COURSE REVIEW AND EXAM

  1. Review
  2. Exam
  3. Alternate Exam
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