Graphs of Sine and Cosine Sinusoids

Slides:

Advertisements

Similar presentations

A brief journey into Section 4.5a HW: p , 4, 5, 9, 13, 25, 27.

Advertisements

1 Graphs of sine and cosine curves Sections 10.1 – 10.3.

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.

Problem of the Day. Section 4.5: Graphs of Sine and Cosine Functions. Pages What you should learn Sketch the graphs of basic sine and cosine.

We need to sketch the graph of y = 3sin(5t+90)

Objective Recognize and graph periodic and trigonometric sine and cosine functions.

4.1.2: What Does the Unit Circle Tell Me?

4.4 Graphs of Sine and Cosine: Sinusoids. By the end of today, you should be able to: Graph the sine and cosine functions Find the amplitude, period,

Section Frequency of Sine and Cosine Graphs.

4-4 Graphing Sine and Cosine

Objectives Graphs of Sine and Cosine

MAT 204 SP Graphs of the Sine and Cosine Functions 7.8 Phase shift; Sinusoidal Curve Fitting In these sections, we will study the following topics:

Graphs Transformation of Sine and Cosine

5/7/13 Obj: SWBAT apply properties of periodic functions Bell Ringer: Construct a sinusoid with amplitude 2, period 3π, point 0,0 HW Requests: Pg 395 #72-75,

Graphs of the Sine and Cosine Functions

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

Today you will use shifts and vertical stretches to graph and find the equations of sinusoidal functions. You will also learn the 5-point method for sketching.

MAT 204 FALL Graphs of the Sine and Cosine Functions 7.8 Phase shift; Sinusoidal Curve Fitting In these sections, we will study the following.

Graphs of the Sine and Cosine Functions Section 6.

Using Transformations to Graph the Sine and Cosine Curves The following examples will demonstrate a quick method for graphing transformations of.

Chapter 4.4 Graphs of Sine and Cosine: Sinusoids Learning Target: Learning Target: I can generate the graphs of the sine and cosine functions along with.

Section 8-2 Sine and Cosine Curves. Recall… The Sine Graph.

Sinusoids and Transformations

5.5 a&b Graphs of Sine and Cosine

Chapter 14 Day 8 Graphing Sin and Cos. A periodic function is a function whose output values repeat at regular intervals. Such a function is said to have.

Section 4.5 Graphs of Sine and Cosine Functions. The Graph of y=sin x.

5.2 Transformations of Sinusoidal Functions Electric power and the light waves it generates are sinusoidal waveforms. Math

Think about riding a bike and pumping the pedals at a constant rate of one revolution each second. How does the graph of the height of one of your feet.

Warm up Use the Pythagorean identity to determine if the point (.623,.377) is on the circumference of the unit circle Using Pythagorean identity, solve.

Essential Question: What are the period and amplitude of the sine/cosine function? How do you find them? How do you graph sine and cos? Students will write.

4.5 Graphs of Sine and Cosine Functions Page in PreCalc book

Any questions from your homework? Be prepared to start notes right away.

5.1 Graphing Sine and Cosine Functions

Graphs of Cosine Functions (part 2)

Transformations of the Graphs of Sine and Cosine Functions

MATH 1330 Section 5.2.

Transformations of the Graphs of Sine and Cosine Functions

Objective: Graphs of sine and cosine functions with translations.

How do we recognize and graph periodic and trigonometric functions?

Warm Up Evaluate Find the measure of the reference angle for each given angle that would be on the unit circle ° 5.

Chapter 4: Lesson 4.5 Graphs of Sine and Cosine Functions

Transformations of the Graphs of Sine and Cosine Functions

MATH 1330 Section 5.2.

Pre-AP Pre-Calculus Chapter 1, Section 6

Work on worksheet with 8 multiple choice questions.

Copyright © 2009 Pearson Education, Inc.

Writing Equations of Trigonometric Graphs

5.2 Transformations of Sinusoidal Functions

Transforming Graphs of Cosine Functions Mr

Graphs of Sine and Cosine

Translations of Sine and Cosine Functions

Notes Over 6.4 Graph Sine, Cosine Functions.

Frequency and Phase Shifts

Pre-AP Pre-Calculus Chapter 4, Section 4

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

Sinusoidal Modeling (Set Calculators to DEGREE mode)

Graphs of the Sine and Cosine Functions

Writing Trig Functions

Graphs of Sine and Cosine: Sinusoids

Sinusoidal Functions of Sine and Cosine

Section 4.5 Graphs of Sine and Cosine Functions

5.1 Graphing Sine and Cosine Functions

Graphing Horizontal and

Graphing: Sine and Cosine

Section 5.5 Graphs of Sine and Cosine Functions

7.4 Periodic Graphs & Phase Shifts Objectives:

Graphs of Sine and Cosine Functions

Periodic Functions; Stretching and Translating Graphs

Section 4.5 Graphs of Sine and Cosine

Presentation transcript:

Graphs of Sine and Cosine Sinusoids Chapter 4, Section 4

Recall How do the graphs of sine and cosine compare and contrast?

What is a sinusoid? if a function can be written in the form where a, b, c, and d are constants and a, b are not 0, then the function is a sinusoid

Amplitude The amplitude of a sinusoid is Graphically, the amplitude is ½ the height of the wave

Amplitude Examples

Period The period of a sinusoid is Graphically, the period is the length of one full cycle of the wave

Period Examples

Frequency The frequency of a sinusoid is Graphically, the frequency is the number of complete cycles the wave completes in a given interval.

Frequency Examples

Phase Shift The phase shift of a sinusoid is

Phase Shift Examples

Determine the following: Amplitude Period Vertical stretch or shrink Horizontal stretch or shrink Phase shift Frequency Vertical translation

Homework page 394 #5,10, 15, 45, 50, 55, 61-68 odd Exit Slip: If the amplitude is ½ the height of the wave, what type of transformation is this? If the period is the length of one full cycle of the wave, what type of transformation is this? What type of transformation is the phase shift?