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How to Graph Trig Functions with Multiple Transformations
Rating: 5.0 out of 5(11 ratings)
110 students

How to Graph Trig Functions with Multiple Transformations

Learn How to Graph the Six Trig Functions with Transformations
Created byMathAngel369 .
Last updated 4/2025
English

What you'll learn

  • How to Graph the Sine Function
  • How to Graph the Sine Function with Multiple Transformations
  • How to Graph the Cosine Function
  • How to Graph the Cosine Function with Multiple Transformations
  • How to Graph the Tangent Function
  • How to Graph the Tangent Function with Transformations
  • How to Graph the Cotangent Function
  • How to Graph the Cotangent Function with Multiple Transformations
  • How to Graph the Secant Function
  • How to Graph the Secant Function with Multiple Transformations
  • How to Graph the Cosecant Function Transformations
  • How to Graph the Cosecant Function with Multiple Transformations

Explore related topics

Course content

8 sections • 28 lectures • 3h 8m total length

  • Understanding the Parent Graph of Sine and the Standard Equation (Article)0:04
  • Understanding the Parent Graph of Sine and the Standard Equation (Video)21:28

    Explore the sine parent graph, read a graph to form the standard sine equation, and extract amplitude, period, phase shift, and vertical shift from the graph.

  • Graphing the Sine Function with Multiple Transformations (Article)0:04
  • Graphing the Sine Function with Multiple Transformations (Video)6:31

    Learn to graph the sine function with multiple transformations using y = a sin(bx - c) + d, with a=3, b=2, c=pi/4, d=0, revealing shifts and a new period.

  • Graphing the Sine Function with Multiple Transformations (Quiz)

Requirements

  • Basic Algebra
  • The Unit Circle

Description

This course is all about graphing the six trig functions, which is a topic covered in Precalculus Trigonometry


Upon completing this course, you will understand the parent graph and the standard equation of the six trigonometric functions and be able to graph each function with multiple transformations.


Section 1:

How to Graph the Sine Function

How to Graph the Sine Function with Multiple Transformations


Section 2:

How to Graph the Cosine Function

How to Graph the Cosine Function with Multiple Transformations


Section 3:

Extra: Regarding the sine and cosine graphs, you are given extra hand-written examples and concepts, showing every step.


Section 4:

How to Graph the Tangent Function

How to Graph the Tangent Function with Transformations


Section 5:

How to Graph the Cotangent Function

How to Graph the Cotangent Function with Multiple Transformations


Section 6:

How to Graph the Secant Function

How to Graph the Secant Function with Transformations


Section 7:

How to Graph the Cosecant Function

How to Graph the Cosecant Function with Transformations


Section 8:

Extra: Regarding the Tangent, Cotangent, Secant, and Cosecant graphs, you are given extra hand-written examples and concepts, showing every step.


For each section, you are given:

1. An reading (attached as a resource) explaining concepts, details, and the example that is used in the video.

2. A video showing a visual of the example in the article.



If you watch each video and read each article, you will have a good understanding for how to graph the six trig functions with transformations.


I hope that I can assist you on your math journey!


Sincerely,


MathAngel369



Who this course is for:

  • Students who take or plan to take a precalculus course
  • Teachers and tutors who teach/tutor trigonometry need ideas

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