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 byJade Wingate
Modified about 1 year ago
7.8 Sinusoidal Graphs
Graph of y = sinx Period = 2 Amplitude = max – min = 1 – – 1 = 1 2 x y 1 –1
General Sine Curve If a is (+), typical sine curve If a is (–), reflect through x-axis We’ll do c & d tomorrow
Ex 1) Graph y = 3sinx b c a d Amp = 3 Period = 2 Increment length = 1 = 0 = 3 = 0 3 –3
Ex 2) Graph y = sin2x b c a d Amp = 1 Per: IL: = 2 = 0 = 1 = 0 1 –1
Graph of y = cosx Period = 2 Amplitude = max – min = 1 – – 1 = 1 2 x y 1 –1
General Cosine Curve If a is (+), typical cosine curve If a is (–), reflect through x-axis We’ll do c & d tomorrow
Ex 3) Graph b c a d Amp = 2 Per: IL: = = 0 = –2 = 0 2 –2 a = –2 reflect across x-axis
Homework #720 Pg. 452 1 – 4 all, 13 – 20 all
Practice. Graph and find the following (unless it doesn’t apply to that type of graph): amplitude, period, increment, sinusoidal axis, starting.
Graphs of the Sine and Cosine Functions Section 4.5.
4.2 Graphing Sine and Cosine Period. 4.1 Review Parent graphs f(x) = sin(x) and g(x) = cos(x) For y = a*sin(bx - c) + d and y = a*cos(bx - c) + d, the.
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.
7.9 Graph of Tangent Function. Graph of y = tanx Period = Amplitude = not defined x y 1 –1.
4.5 Sinusoidal Graphs Sketching and Writing Equations.
Using Transformations to Graph the Sine and Cosine Curves The following examples will demonstrate a quick method for graphing transformations of.
5.3 Part 1 Trig Graphs A function is periodic if its values repeat in a cycle. Sin and Cos functions repeat their values in a regular fashion. Since.
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.
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,
4.3 Period Changes and Graphs other Trig Functions Obj: Graph sine and cosine with period changes Obj: Graph other Trig Functions.
+ Starter Draw the graph of y = log(x+1) for -6≤ x ≤ 14. Draw in the asymptote Asymptote is at x = -1.
Notes Over 14.1 Graph Sine, Cosine, and Tangent Functions.
UNIT 6: GRAPHING TRIG AND LAWS Final Exam Review.
November 29, 2012 Period and Amplitude of the Sine and Cosine Functions Warm-up: Finish Sine and Cosine Function Activity (15 minutes) HW 4.5: Pg
Trigonometric Graphs. What is to be learned? How to draw and identify graphs with sine and cosine.
Trig – Section 4 Graphing Sine and Cosine Objectives: To graph sine and cosine curves To find amplitude, period and phase shifts.
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.
Lesson 47 – Trigonometric Functions Math 2 Honors - Santowski 2/12/2016Math 2 Honors - Santowski1.
Chapter 5 – Trigonometric Functions: Unit Circle Approach Trigonometric Graphs.
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.
3) 0.96) –0.99) –3/412) –0.6 15) 2 cycles; a = 2; Period = π 18) y = 4 sin (½x) 21) y = 1.5 sin (120x) 24) 27) 30) Period = π; y = 2.5 sin(2x) 33) Period.
6.3 Graphing Sine and Cosine Functions. Periodic Functions A periodic function is a function with a repeating pattern this includes sin and cos graphs.
Pg. 407/423 Homework Pg. 407#33 Pg. 423 #16 – 18 all #19 Ѳ = kπ#21t = kπ, kπ #23 x = π/2 + 2kπ#25x = π/6 + 2kπ, 5π/6 + 2kπ #27 x = ±1.05.
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.
2.6 Graphs of the Sine and Cosine Functions xxy = sin x 00=SIN(B2) π/6=PI()/6=SIN(B3) π/3=PI()/3=SIN(B4) π/2=PI()/2=SIN(B5) 2π/3=B5+PI()/6=SIN(B6) 5π/6=B6+PI()/6=SIN(B7)
Translations of sine and cosine graphs The graph will be shifted to the right by c. The graph will be shifted up d. We already know what A and B are used.
Trigonometric Functions – Lesson 3 REVIEW: Graph Sine and Cosine Functions With amplitude and period changes. INVESTIGATE” VERTICAL SHIFT Objective: To.
Unit 5 Day 13 Graph Practice & Writing Equation Given Graph.
CHAPTER 4 – LESSON 1 How do you graph sine and cosine by unwrapping the unit circle?
Math 120: Elementary Functions Overview: Sine and Cosine Functions Review: 16 Point Circle The graphs of y=sin(x) and y=cos(x) Properties of y=sin(x) and.
November 29, 2011 At the end of today you will be able to understand where the sine and cosine curve derive from. DO NOW: Discuss Final Review Questions.
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.
Sinusoidal Graphs and Values …and how to apply them to real-life problems.
2.8 Cont. Warm-up (IN) 1. Graph Learning Objective: To fit a sinusoidal curve to a set of data.
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.
Graphing Trig Functions SAMM Sections 2.7 and 2.8 Amplitude and Period - Notes.
Created by Mr. Lafferty Graphs of the form y = a sin x o Trigonometry Graphs Nat 5 Graphs of the form y = a sin bx o Phase angle.
f(x) + a x y = f(x) Graphs of Related Functions (1) f(x) = x 2 f(x) +2= x f(x) - 5 = x Vertical Translations.
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.
Warm Up:. Sinusoidal Graphs and Values …and how to apply them to real-life problems.
1 TF.03.3a - Transforming Sinusoidal Functions MCR3U - Santowski.
Graphing Cosecant and Secant. Using the Graphing Calculator Mode— Radians Function Sequential Window— –X min = - –X max = 3 –X scale = /6 Window—
Graphs of the Sine and Cosine Functions Section 6.
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.
4.5 Graphs of Sine and Cosine Functions AmplitudePeriodTranslations.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 7.6 Graphs of the Sine and Cosine Functions.
E-learning extended learning for chapter 11 (graphs)
© 2017 SlidePlayer.com Inc. All rights reserved.