We think you have liked this presentation. If you wish to download it, please recommend it to your friends in any social system. Share buttons are a little bit lower. Thank you!
Presentation is loading. Please wait.
Published byChloe Troy
Modified about 1 year ago
Section Frequency of Sine and Cosine Graphs
Lesson Objective: Students will: Practice stretching a sine and cosine graph horizontally. Learn about angular frequency and its relationship to period.
Angular Frequency How frequently a cycle of a function occurs between 0 and 2π is the angular frequency. The letter b is used to represent angular frequency.
General Equation for Sine a = amplitude b = angular frequency h = horizontal shift k = vertical shift
Period The product of the period, p, and the angular frequency, b, is 2π.
Closure Given, explain all the transformations for the function.
Assignment Pg 208 #4-97 to 4-106
Section Equivalent Transformations. Lesson Objective: Students will: Understand that a vertical stretch of y = x² is equivalent to a horizontal.
Graphs of the Sine and Cosine Functions Section 6.
Notes Over 14.1 Graph Sine, Cosine, and Tangent Functions.
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.
Section 4.5 Graphs of Sine and Cosine Functions. The Graph of y=sin x.
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.
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.
6.5 & 6.7 Notes Writing equations of trigonometric functions given the transformations.
Lesson 8-2 Sine and Cosine Curves https://encrypted- tbn3.gstatic.com/images?q=tbn:ANd9GcTMSNbfIIP8t1Gulp87xLpqX92qAZ_vZwe4Q u308QRANh_v4UHWiw.
Section 4.5 Graphs of Sine and Cosine. Sine Curve Key Points:0 Value: π 2π2π π 2π2π 1.
Label each of the following graphs with the appropriate function. Calculator should be set to radians. Window Xscl should be set to pi. The amplitude equals:
Ch.6 Section 5 Translations of Sine and Cosine Functions.
Chapter 4: Circular Functions Lesson 7: Scale-Change Images to Trig Functions Mrs. Parziale.
Precalculus 4.5 Graphs of Sine and Cosine 1 Bellwork 60° 13 Find the two sides of this triangle.
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.
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.
4.5 Graphs of Sine and Cosine Functions Students will sketch the graphs of basic sine and cosine functions. Students will use amplitude and period to help.
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.
December 4, 2012 Using Translations on Sine and Cosine Curves Warm-up: 1. What is the domain for ? 2.Write the equation, then state the domain and range.
MTH 112 Elementary Functions Chapter 5 The Trigonometric Functions Section 6 – Graphs of Transformed Sine and Cosine Functions.
Section 2.5 Transformations of Functions. Overview In this section we study how certain transformations of a function affect its graph. We will specifically.
Trig Transformations y=sint t y We need to sketch the graph of y = 3sin(5t+90)
Section 3.5 Graphing Techniques: Transformations.
Lesson 1.4 Read: Pages Page 48: #1-53 (EOO).
Section 8-2 Sine and Cosine Curves. Recall… The Sine Graph.
4.2 Period, Amplitude & Phase Shift. Amplitude: If a periodic function has a max value M and a min value m, then amplitude is aka: half the range/ vertical.
Notes Over 14.2 Translations of Trigonometric Graphs Translation of a Sine Function Amplitude Period.
Translating Sine and Cosine Functions Section 13.7.
Section Graphing Log Functions. Lesson Objective: Students will: Graph by reversing a table for. Stretch and shift it as they have for other parent.
Slide Graphs Transformation of Sine and Cosine Consider the form y = A sin (Bx – C) + D and y = A cos (Bx – C) + D where A, B, C, and D are all.
Any questions from your homework? Be prepared to start notes right away.
Periodic Function Review Degrees vs. Radians. Reciprocal Functions.
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.
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.
Transformation of Functions Section 1.6. Objectives Describe a transformed function given by an equation in words. Given a transformed common function,
Graphs of the Sine and Cosine Functions Section 4.5.
Transformations of Sine and Cosine 14 December 2010.
Section 1.4 Transformations and Operations on Functions.
4-4 Graphing Sine and Cosine Chapter 4 Graphs of Trigonometric Functions.
Using Transformations to Graph the Sine and Cosine Curves The following examples will demonstrate a quick method for graphing transformations of.
C HAPTER 7: T RIGONOMETRIC G RAPHS 7.4: P ERIODIC G RAPHS AND P HASE S HIFTS Essential Question: What translation is related to a phase shift in a trigonometric.
2.6 Graphing Sine and Cosine Functions Warm-up (IN) 1.Identify the transformations from to Learning Objective: To graph sine and cosine functions and to.
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.
Trig – Section 4 Graphing Sine and Cosine Objectives: To graph sine and cosine curves To find amplitude, period and phase shifts.
Section 1.6 Transformation of Functions. Graphs of Common Functions.
Section 4.5 Graphs of Sine and Cosine. Overview In this section we first graph y = sin x and y = cos x. Then we graph transformations of sin x and cos.
4.1.2: What Does the Unit Circle Tell Me? Today you will learn how sine and cosine can be viewed in terms of the unit circle; develop the Fundamental Pythagorean.
Graphical Transformations Vertical and Horizontal Translations Vertical and Horizontal Stretches and Shrinks.
When Function values repeat at regular intervals the function could be referred to as a cyclic function or periodic function. You can model these types.
Sinusoidal Graphs and Values …and how to apply them to real-life problems.
© 2017 SlidePlayer.com Inc. All rights reserved.