Graphs of Tangent, Cotangent, Secant, and Cosecant

Slides:



Advertisements
Similar presentations
Graphs of Other Trigonometric Functions
Advertisements

Section 4.6. Graphs of Other Trigonometric Functions What you should learn Sketch the graphs of tangent functions. Sketch the graphs of cotangent functions.
4.5 – Graphs of the other Trigonometric Functions Tangent and Cotangent.
Copyright © Cengage Learning. All rights reserved. Chapter 11 Introduction to Trigonometry.
Chapter 4.5 Graphs of Tangent, Cotangent, Secant, and Cosecant Learning Target: Learning Target: I can generate the graphs for tangent, cotangent, secant,
4.6 Graphs of Other Trigonometric FUNctions How can I sketch the graphs of all of the cool quadratic FUNctions?
TRIGONOMETRY, 5.0 STUDENTS KNOW THE DEFINITIONS OF THE TANGENT AND COTANGENT FUNCTIONS AND CAN GRAPH THEM. Graphing Other Trigonometric Functions.
6.5 & 6.7 Notes Writing equations of trigonometric functions given the transformations.
Unit 5 – Graphs of the other Trigonometric Functions Tangent and Cotangent MM4A3. Students will investigate and use the graphs of the six trigonometric.
Chapter 5 – Trigonometric Functions: Unit Circle Approach More Trigonometric Graphs.
Trigonometric Functions on Any Angle Section 4.4.
Graphs of the Other Trigonometric Functions Section 4.6.
Section 4.6 Graphs of Other Trigonometric Functions.
5.1 Inverse sine, cosine, and tangent
Inverse Trigonometric Functions The definitions of the inverse functions for secant, cosecant, and cotangent will be similar to the development for the.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 1 Homework, Page 392 Find the amplitude of the function and use.
Term 3 : Unit 1 Trigonometry (Part B) Name : ____________ ( ) Class : ______ Date :________ 1.3 Simple Identities 1.4 Trigonometric Equations.
The Derivative. Definition Example (1) Find the derivative of f(x) = 4 at any point x.
Chapter 4 Trigonometric Functions
3.5 – Derivative of Trigonometric Functions
Lesson 13.1: Trigonometry.
Warm-up:. Homework: 7.5: graph secant, cosecant, tangent, and cotangent functions from equations (6-7) In this section we will answer… What about the.
Trigonometric Ratios in Right Triangles M. Bruley.
Graphs of Tangent, Cotangent, Secant, and Cosecant
Trigonometric Ratios in the Unit Circle 6 December 2010.
Do Now: Graph the equation: X 2 + y 2 = 1 Draw and label the special right triangles What happens when the hypotenuse of each triangle equals 1?
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 1 Homework, Page 381 Identify the one angle that is not coterminal.
Graphs of the Trig Functions Objective To use the graphs of the trigonometric functions.
MATHPOWER TM 12, WESTERN EDITION Chapter 4 Trigonometric Functions.
Limits Involving Trigonometric Functions
Trigonometric Integrals. Antiderivatives that Deal with the Trigonometry We already know the following from Chapter 4: But what are the integrals of tangent,
More Trigonometric Graphs
Objectives : 1. To use identities to solve trigonometric equations Vocabulary : sine, cosine, tangent, cosecant, secant, cotangent, cofunction, trig identities.
Graphing Primary and Reciprocal Trig Functions MHF4UI Monday November 12 th, 2012.
Graphing the Other Trigonometric Functions DR. SHILDNECK FALL.
12.7 Graphing Trigonometric Functions Day 1: Sine and Cosine.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley 4.4 Graphs of Sine and Cosine: Sinusoids.
4.3 Right Triangle Trigonometry Trigonometric Identities.
SFM Productions Presents: Another saga in your continuing Pre-Calculus experience! 4.6 Graphs of other Trigonometric Functions.
6.7 Graphing Other Trigonometric Functions Objective: Graph tangent, cotangent, secant, and cosecant functions. Write equations of trigonometric functions.
Precalculus Functions & Graphs 5.3 B Trig Functions of Real Numbers Notes 0.
Solving Trigonometric Equations Unit 5D Day 1. Do Now  Fill in the chart. This must go in your notes! θsinθcosθtanθ 0º 30º 45º 60º 90º.
Derivatives of Trigonometric Functions
The Unit Circle Today we will learn the Unit Circle and how to remember it.
Trigonometric Graphs 6.2.
Writing Equations of Trigonometric Graphs
MATH 1330 Section 5.3b.
Trigonometry Review.
Graphing Sine and Cosine
More Trigonometric Graphs 5.4
Trigonometric Graphs 1.6 Day 1.
Trigonometry Review.
Section 4.6. Graphs of Other Trigonometric Functions
Derivatives of Trigonometric Functions
Copyright © Cengage Learning. All rights reserved.
Section 3.5 Cosecant Secant and Cotangent Functions
Derivatives of Trigonometric Functions
MATH 1330 Section 5.3.
Chapter 8: The Unit Circle and the Functions of Trigonometry
Graphing Other Trig. Functions
How do we recognize and graph periodic and trigonometric functions?
4.3 Right Triangle Trigonometry
Chapter 8: The Unit Circle and the Functions of Trigonometry
Section 4.6 Graphs of Other Trigonometric Functions
Graphs of Other Trigonometric Functions
Unit #5: Introduction to Trigonometry
MATH 1330 Section 5.3.
9.5: Graphing Other Trigonometric Functions
Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
Presentation transcript:

Graphs of Tangent, Cotangent, Secant, and Cosecant 4.5 Graphs of Tangent, Cotangent, Secant, and Cosecant

What you’ll learn about The Tangent Function The Cotangent Function The Secant Function The Cosecant Function … and why This will give us functions for the remaining trigonometric ratios.

Asymptotes of the Tangent Function

Zeros of the Tangent Function

Asymptotes of the Cotangent Function

Zeros of the Cotangent Function

The Secant Function

The Cosecant Function

Basic Trigonometry Functions

Basic Trigonometry Functions

Example Solving a Trigonometric Equation Graphically

Example Solving a Trigonometric Equation Graphically

Quick Review

Quick Review Solutions