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Ch 6: Saxon Calculus: Trigonometry

About This Chapter

The Trigonometry chapter of this Saxon Calculus Companion Course aligns with the same chapter in the Saxon Calculus textbook. These simple and fun video lessons are about five minutes long and help you learn the essential lessons about trigonometric ratios, radians and unit circles.

How It Works:

  • Find the lesson within this chapter that corresponds to what you're studying in the Trigonometry chapter of your textbook.
  • Watch fun videos that cover the calculus concepts you need to learn or review.
  • Complete the quiz after watching each video lesson to test your understanding.
  • If you need additional help, rewatch the videos until you've mastered the material, or submit a question for one of our instructors.

Chapter Topics

You'll learn all of the calculus topics covered in the textbook chapter, including:

  • Circular trigonometric functions
  • Relating right triangles to sine and cosine using unit circles
  • Using identities and inverses to solve trigonometric equations
  • Sinusoids
  • Cofunctions
  • Inverse trigonometric functions
  • Graphically solving trigonometric equations

Saxon Calculus is a registered trademark of Saxon Publishers, Inc., which is not affiliated with Study.com.

11 Lessons in Chapter 6: Saxon Calculus: Trigonometry
Test your knowledge with a 30-question chapter practice test
Converting Between Radians and Degrees

1. Converting Between Radians and Degrees

The two most widely used units of measure for angles are degrees and radians. Learn how to convert radians to degrees and degrees to radians using the concepts of proportion and priority.

Trigonometric Ratios and Similarity

2. Trigonometric Ratios and Similarity

In mathematics, trigonometric ratios explore the measurements of the angles and sides of right triangles. Learn about trigonometric ratios and similarities as they apply to right triangles, what causes two right triangles to be similar, and how to calculate sine, cosine, and tangent.

Practice Problems with Circular Trigonometric Functions

3. Practice Problems with Circular Trigonometric Functions

Circular trigonometric functions are the trig functions which are calculated using a circle. Learn more about the unit circle, degrees, and radians, and apply your understanding by working through example problems.

Using Unit Circles to Relate Right Triangles to Sine & Cosine

4. Using Unit Circles to Relate Right Triangles to Sine & Cosine

A unit circle is a circle with a radius of 1, and a right triangle is a triangle with one right angle. Learn the trigonometric properties of right triangles and how to use unit circles to relate right triangles to sine and cosine.

Solve Trigonometric Equations with Identities & Inverses

5. Solve Trigonometric Equations with Identities & Inverses

Trigonometric identities, or true trigonometric statements, have associated inverses which can be used to solve complex equations. Look at two example problems that require applying trigonometric identities, as well as their inverses, to be solved.

Sinusoids: Centerline, Amplitude, Phase Angle & Period

6. Sinusoids: Centerline, Amplitude, Phase Angle & Period

Sinusoid functions, e.g. sine or cosine, have specific characteristics such as an amplitude, period, phase angle and a centerline. In this lesson, we seek to address and illustrate each one of these features or characteristics.

Trigonometric Identities: Definition & Uses

7. Trigonometric Identities: Definition & Uses

Trigonometric identities are equations that are always true for trigonometric functions. Learn about the definition and kinds of trigonometric identities and explore the uses of trigonometric identities through examples.

Cofunctions: Definition & Examples

8. Cofunctions: Definition & Examples

Cofunctions are functions that are connected, such as cosine and sine. Explore this concept demonstrated through equations using cosine & sine, cotangent & tangent, and cosecant & secant.

Properties of Inverse Trigonometric Functions

9. Properties of Inverse Trigonometric Functions

Inverse trigonometric functions are the inverse of the usual sine, cosine, and tangent functions, and they can be written two ways. Learn more about inverse trigonometric functions, including their notation, limited range, and how they appear on a graph.

How to Solve Trigonometric Equations for X

10. How to Solve Trigonometric Equations for X

Trigonometric functions can be simplified using their inverses and their angles can be solved within their restricted domains. Learn how to solve trigonometric equations for x using inverse operations and based on trigonometric restrictions.

Solving a Trigonometric Equation Graphically

11. Solving a Trigonometric Equation Graphically

A trigonometric equation can be solved graphically by providing a visual demonstration of the mathematical answers. Learn how to find the answers graphically and understand what to watch out for when solving trigonometric equations.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken
More Exams
There are even more practice exams available in Saxon Calculus: Trigonometry.

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