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Ch 20: Using Trigonometric Functions: Tutoring Solution

About This Chapter

The Using Trigonometric Functions chapter of this High School Precalculus Tutoring Solution is a flexible and affordable path to learning about the use of trig functions. These simple and fun video lessons are each about five minutes long and they teach all of the operations involving trigonometric functions required in a typical high school precalculus course.

How it works:

  • Begin your assignment or other precalculus work.
  • Identify the trigonometric functions concepts that you're stuck on.
  • Find fun videos on the topics you need to understand.
  • Press play, watch and learn!
  • Complete the quizzes to test your understanding.
  • As needed, submit a question to one of our instructors for personalized support.

Who's it for?

This chapter of our high school precalculus tutoring solution will benefit any student who is trying to learn how to use trig functions and earn better grades. This resource can help students including those who:

  • Struggle with understanding sine, cosine, cotangent, secant, cosecant, the double angle formula or any other trigonometric functions topic
  • Have limited time for studying
  • Want a cost effective way to supplement their math learning
  • Prefer learning math visually
  • Find themselves failing or close to failing their trigonometric functions unit
  • Cope with ADD or ADHD
  • Want to get ahead in precalculus
  • Don't have access to their math teacher outside of class

Why it works:

  • Engaging Tutors: We make learning how to use trig functions simple and fun.
  • Cost Efficient: For less than 20% of the cost of a private tutor, you'll have unlimited access 24/7.
  • Consistent High Quality: Unlike a live precalculus tutor, these video lessons are thoroughly reviewed.
  • Convenient: Imagine a tutor as portable as your laptop, tablet or smartphone. Learn how to use trig functions on the go!
  • Learn at Your Pace: You can pause and rewatch lessons as often as you'd like, until you master the material.

Learning Objectives

  • Become familiar with the basic trigonometric functions of sine, cosine and tangent.
  • Understand the trigonometric functions of cotangent, secant and cosecant.
  • Memorize the first quadrant of the unit circle.
  • Use the unit circle to relate right triangles to sine and cosine.
  • Solve problems involving circular trigonometric functions.
  • Describe the types and properties of special right triangles.
  • Determine the trigonometric function values of special angles.
  • Become familiar with the law of sines and law of cosines.
  • Discuss the double angle formula.
  • Convert between radians and degrees.

12 Lessons in Chapter 20: Using Trigonometric Functions: Tutoring Solution
Test your knowledge with a 30-question chapter practice test
Trigonometry: Sine and Cosine

1. Trigonometry: Sine and Cosine

Sine and cosine are basic trigonometric functions that are used to solve for the angles and sides of triangles. Review trigonometry concepts and learn about the mnemonic used for sine, cosine, and tangent functions.

Other Trigonometric Functions: Cotangent, Secant & Cosecant

2. Other Trigonometric Functions: Cotangent, Secant & Cosecant

Cotangent, secant, and cosecant are trigonometric functions that are reciprocals of tangent, cosine, and sine, respectively. Explore trigonometric functions and learn about cotangent, secant, and cosecant functions.

Unit Circle: Memorizing the First Quadrant

3. Unit Circle: Memorizing the First Quadrant

Memorizing the unit circle allows for calculation of its angles' trigonometric values without a calculator. Explore and memorize the unit circle's first quadrant, including its main points, and its sine, cosine, and tangent values.

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.

Practice Problems with Circular Trigonometric Functions

5. 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.

Special Right Triangles: Types and Properties

6. Special Right Triangles: Types and Properties

There are two types of special right triangles that have either 30-60-90 degree angles or 45-45-90 degree angles. Learn more about the definitions and explore the properties of 30-60-90 and 45-45-90 degree angles of special right triangles through examples.

Trigonometric Function Values of Special Angles

7. Trigonometric Function Values of Special Angles

All trigonometry is based on the right triangle, which is a triangle with one 90-degree right angle, and all trigonometric functions are ratios of the right triangle. Learn about right triangles, trigonometric functions, and values of special angles in trigonometry.

Law of Sines: Definition and Application

8. Law of Sines: Definition and Application

Law of Sines, also known as sine law or sine rule, is an equation relating the sines of the three angles of a triangle to its three sides. Learn about the definition of the Law of Sines and understand how to apply it by completing math problems involving triangles.

Law of Cosines: Definition and Application

9. Law of Cosines: Definition and Application

The law of cosines is an equation that considers the two known sides of a triangle and the cosine of one of its known angles to find the one missing side. Explore the definition and application of the law of cosines and learn how to solve problems involving triangles through the given practice problems.

The Double Angle Formula

10. The Double Angle Formula

In trigonometry, a double angle is twice as large as a common angle. Learn how to calculate the double angle formula, explore trigonometry twins for sine, cosine, and tangent, and apply this information in practice problems using the double angle formula.

Converting Between Radians and Degrees

11. 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.

Inversely Proportional: Definition, Formula & Examples

12. Inversely Proportional: Definition, Formula & Examples

Connected quantities or variables can have one of three relationships: direct, inverse, and joint. Learn to define inversely proportional variables, and discover how to solve word problems and plot them on a graph.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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More Exams
There are even more practice exams available in Using Trigonometric Functions: Tutoring Solution.

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