Length: Eighteen weeks of lessons (sixty-three individual) that can be done over a longer period of time if needed
Includes: Printable worksheets with assignments
Age/Grade: High school

View a sample of Trigonometry
Print a Certificate of Completion

How to Use This Course

This in-depth trigonometry course provides more than sixty lessons that include ample illustrations, multiple assignments, and step-by-step solutions as well as gradable tests. Answer keys are included, and Mrs. Candler is available to answer questions by email (see contact information on page 3 of the course download).

Course Introduction

This semester-long course is a thorough trigonometry course that can be done in several ways. Students who are pursuing a math-intensive degree may wish to take this class in the eighteen weeks as it is laid out and follow it with another semester-long math class, such as Introduction to Statistics. Students who are pursuing a less math-intensive field may want to spread this course out over more than eighteen weeks, as it is a meaty course with ample practice problems and assignments.

Printable worksheets with assignments

  • Right Triangle Trigonometry
    • Trigonometric Functions Defined in a Right Triangle
    • Special Right Triangles
    • The Beginning of Trigonometric Identities
    • Applications Involving Right Triangles
  • From Acute Angles to Any Angle
    • Degree Measure
    • Radian Measure
    • Trigonometric Functions of Any Angle (Circular Functions)
    • Reference Angles
    • Making Connections with Special Angles
  • From Any Angle to All Real Numbers
    • Using the Unit Circle
    • The Trigonometric Functions of Real Numbers
    • Putting It All Together
  • Graphing the Sine and Cosine Functions
    • The Basic Sine and Cosine Functions
    • Graphing the Sine Function in the Form y=a sin bx
    • Graphing the Sine Function in the Form y=a sin(bx+c)+d
    • Graphing the Cosine Function in the Form y=a cos (bx+c)+d
    • Working Through an Application of Sine or Cosine
    • Applications with Graph Variations
  • Graphing the Other Trigonometric Functions
    • The Basic Tangent Function
    • Graphing the Tangent Function in the Form y=a tan (bx+c)+d
    • Graphing the Reciprocal Functions
    • The Inverse Sine Function
    • The Inverse Cosine and Inverse Tangent Functions
    • Composition of Inverse Functions
  • Working with Identities
    • Fundamental Identities
    • Simplifying Expressions by Basic Substitution
    • Simplifying by Factoring
    • Simplifying by Combining Fractions
    • Verifying Identities by Basic Substitution
    • Verifying Identities by Factoring
    • Verifying Identities by Converting to Sines and Cosines
    • Verifying Identities by Combining Fractions
  • Solving Trigonometric Equations
    • Solving Basic Trigonometric Equations
    • Solving by Square Roots or Squaring
    • Solving by Common Factors or Difference of Two Squares
    • Solving by Trinomial Factoring
    • Solving Equations with Multiple Angles
  • More Trigonometric Equations and New Identities
    • Finding Approximate Solutions to Equations
    • Mixing up the Equations
    • The Sum and Difference Formulas
    • Using the Sum/Difference Formulas with Past Concepts
    • Verifying Identities Using Sum/Difference Formulas
    • The Double Angle Formulas
    • The Half-Angle Formulas
    • Solving Equations with Multiple Angles
    • The Remaining Identities
  • Oblique Triangle Applications
    • The Law of Sines
    • Law of Sines Applications
    • Applications with Bearings
    • The Area of an Oblique Triangle
    • The Law of Cosines
    • Applications for the Law of Cosines
    • Heron’s Formula for the Area of a Triangle
  • Other Trigonometry Applications
    • Basic Properties of Vectors
    • More About Vectors
    • Vector Applications
    • Trigonometric Form of a Complex Number
    • Multiplication, Division, and Powers of a Complex Number
    • Roots of a Complex Number
    • The Polar Coordinate System (Plotting Points)
    • Graphing Polar Equations
    • From Polar to Rectangular and Vice Versa
    • Final Lesson

Download the Trigonometry syllabus here.

This is a one-semester high school trigonometry course worth one-half credit in math upon successful completion of all assignments.

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