6.5 & 6.7 Notes Writing equations of trigonometric functions given the transformations.

Slides:

Advertisements

Similar presentations

4.5 – Graphs of the other Trigonometric Functions Tangent and Cotangent.

Advertisements

Inverse Trigonometric Functions

C HAPTER 14 D AY 9 Graphing Tan, Cot, Sec, Csc. G RAPHING T ANGENT tanx.

TRIGONOMETRY, 5.0 STUDENTS KNOW THE DEFINITIONS OF THE TANGENT AND COTANGENT FUNCTIONS AND CAN GRAPH THEM. Graphing Other Trigonometric Functions.

Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions Section 7.

Notes Over 6.4 Graph Sine, Cosine Functions Notes Over 6.4 Graph Sine, Cosine, and Tangent Functions Equation of a Sine Function Amplitude Period Complete.

Unit 5 – Graphs of the other Trigonometric Functions Tangent and Cotangent MM4A3. Students will investigate and use the graphs of the six trigonometric.

Section Frequency of Sine and Cosine Graphs.

Chapter 5 – Trigonometric Functions: Unit Circle Approach More Trigonometric Graphs.

Aim: What is the transformation of trig functions? Do Now: HW: Handout Graph: y = 2 sin x and y = 2 sin x + 1, 0 ≤ x ≤ 2π on the same set of axes.

Trigonometric Functions on Any Angle Section 4.4.

Inverse Hyperbolic Functions. The Inverse Hyperbolic Sine, Inverse Hyperbolic Cosine & Inverse Hyperbolic Tangent.

MTH 112 Elementary Functions Chapter 5 The Trigonometric Functions Section 6 – Graphs of Transformed Sine and Cosine Functions.

Graphs of the Other Trigonometric Functions Section 4.6.

Section 4.6 Graphs of Other Trigonometric Functions.

Inverse Trigonometric Functions The definitions of the inverse functions for secant, cosecant, and cotangent will be similar to the development for the.

Graphs of the Sine and Cosine Functions Section 6.

Chapter 4 Trigonometric Functions

3.5 – Derivative of Trigonometric Functions

Page 309 – Amplitude, Period and Phase Shift Objective To find the amplitude, period and phase shift for a trigonometric function To write equations of.

CHAPTER 4 – LESSON 1 How do you graph sine and cosine by unwrapping the unit circle?

Copyright © 2013, 2009, 2005 Pearson Education, Inc. 1 4 Graphs of the Circular Functions Copyright © 2013, 2009, 2005 Pearson Education, Inc. 1.

14.1, 14.2 (PC 4.5 & 4.6): Graphing Trig Functions HW: p.912 (3-5 all) HW tomorrow: p.913 (6, 10, 16, 18), p.919 (12-16 even) Quiz 14.1, 14.2: Tuesday,

Advanced Math-Honors Graphing Sine and Cosine. General Graphs Graphs are collections of points Independent variables are related to dependent variables.

Do Now:. 4.5 and 4.6: Graphing Trig Functions Function table: When you first started graphing linear functions you may recall having used the following.

Trig Functions – Part Tangent & Cotangent Identities Pythagorean Identities Practice Problems.

Limits Involving Trigonometric Functions

Translations of Sine and Cosine Functions

PHASE SHIFTS AND VERTICAL SHIFTS I can identify the transformations made to the Sine and Cosine graph. 5.4 I can construct the Sine and Cosine.

Periodic Function Review

Writing Equations of Trigonometric Graphs Dr. Shildneck Fall.

2/28/20162  Sine  The most fundamental sine wave, y=sin(x), has the graph shown.  It fluctuates from 0 to a high of 1, down to –1, and back to 0,

Graphing Primary and Reciprocal Trig Functions MHF4UI Monday November 12 th, 2012.

Graphing the Other Trigonometric Functions DR. SHILDNECK FALL.

Warm up 1. Give an example of an even function? 2. Give and example of an odd function? 3. Graph y = x

12.7 Graphing Trigonometric Functions Day 1: Sine and Cosine.

Notes Over 14.2 Translations of Trigonometric Graphs Translation of a Sine Function Amplitude Period.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley 4.4 Graphs of Sine and Cosine: Sinusoids.

Graphing Trigonometric Functions Chapter 4. The sine and cosine curves Graph y = sinx.

Sine & Cosine Tangent & Cotangent Secant & Cosecant.

Notes Over 14.1 Graph Sine, Cosine, and Tangent Functions.

6.7 Graphing Other Trigonometric Functions Objective: Graph tangent, cotangent, secant, and cosecant functions. Write equations of trigonometric functions.

Precalculus Honors February 9 th Students will complete their daily warm-up problems. Answer questions from previous night’s homework (page 533, numbers.

Pre-Calculus Honors 4.5, 4.6, 4.7: Graphing Trig Functions

Writing Equations of Trigonometric Graphs

How do we recognize and graph periodic and trigonometric functions?

Graphing Sine and Cosine

More Trigonometric Graphs 5.4

Work on worksheet with 8 multiple choice questions.

Graphing Trigonometric Functions

Bell Ringer Solve even #’s Pg. 52.

Sinusoidal Modeling (Set Calculators to DEGREE mode)

Translations of Sine and Cosine Functions

Amplitude, Period, & Phase Shift

Basic Identities Trigonometric Identities Section 3.1

Notes Over 6.4 Graph Sine, Cosine Functions.

Graphing Trigonometric Functions

Frequency and Phase Shifts

How do we recognize and graph periodic and trigonometric functions?

Graphs of Secant, Cosecant, and Cotangent

How do we recognize and graph periodic and trigonometric functions?

Trigonometric identities and equations Sum and difference identities

4.2 – Translations of the Graphs of the Sine and Cosine Functions

Frequency and Phase Shifts

Section 4.6 Graphs of Other Trigonometric Functions

7.3: Amplitude and Vertical Shifts

7.4 Periodic Graphs & Phase Shifts Objectives:

9.5: Graphing Other Trigonometric Functions

Writing Trig Functions

Presentation transcript:

6.5 & 6.7 Notes Writing equations of trigonometric functions given the transformations

6.5 & 6.7 Notes Write the equation of a sine function with an amplitude of 3, a period of 90º, a phase shift of left 30º, and vertical shift of down 5.

6.5 & 6.7 Notes Write the equation of a tangent function with a period of, a phase shift of right, and vertical shift of up 6.

6.5 & 6.7 Notes Write the equation of a cosecant function with a period of 720º, a phase shift of right 180º, and vertical shift of up 4.

6.5 & 6.7 Notes Write the equation of a … 1.cosine function with an amplitude of 9, a period of 1440º, a phase shift of left 360º, and a vertical shift of down 8. 2.cotangent function with a period of, a phase shift of right, and vertical shift of up 10.

6.5 & 6.7 Notes 1. 2.