Ch 6: Saxon Calculus: Trigonometry
About This Chapter
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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Other Chapters
Other chapters within the Saxon Calculus Homeschool: Online Textbook Help course
- Saxon Calculus: Real Numbers
- Saxon Calculus: Algebra
- Saxon Calculus: Algebra Theorems
- Saxon Calculus: Geometry
- Saxon Calculus: Logic
- Saxon Calculus: Graphing Calculator
- Saxon Calculus: Basics of Functions
- Saxon Calculus: Graphing Functions & Equations
- Saxon Calculus: Analysis of Graphs
- Saxon Calculus: Limits of Functions
- Saxon Calculus: Asymptotic & Unbounded Behavior
- Saxon Calculus: Continuity as a Property of Functions
- Saxon Calculus: Parametric, Polar & Vector Functions
- Saxon Calculus: Concept of the Derivative
- Saxon Calculus: Derivative at a Point
- Saxon Calculus: Derivative as a Function
- Saxon Calculus: Second Derivatives
- Saxon Calculus: Applications of the Derivative
- Saxon Calculus: Computation of Derivatives
- Saxon Calculus: Riemann Sums
- Saxon Calculus: Interpretations & Properties of Definite Integrals
- Saxon Calculus: Applications of Integrals
- Saxon Calculus: Fundamental Theorem of Calculus
- Saxon Calculus: Techniques of Antidifferentiation
- Saxon Calculus: Applications of Antidifferentiation
- Saxon Calculus: Numerical Approximation of Definite Integrals
- Saxon Calculus: Concept of Series
- Saxon Calculus: Series of Constants
- Saxon Calculus: Taylor Series