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7.8 Sinusoidal Graphs
Graph of y = sinx Period = 2𝝅 Amplitude = max – min = 1 – – 1 = 1 2 2x y 1 –1 Period = 2𝝅 Amplitude = max – min = 1 – – 1 = 1 2 2
General Sine Curve We’ll do c & d tomorrowIf a is (+), typical sine curve If a is (–), reflect through x-axis
Ex 1) Graph y = 3sinx b = 1 c = 0 a = 3 d Amp = 3 Period = 2𝝅–3 Amp = 3 Period = 2𝝅 Increment length
Ex 2) Graph y = sin2x b c a d = 2 = 0 = 1 1 –1 Amp = 1 Per: IL:
Graph of y = cosx Period = 2𝝅 Amplitude = max – min = 1 – – 1 = 1 2 2x y 1 –1 Period = 2𝝅 Amplitude = max – min = 1 – – 1 = 1 2 2
General Cosine Curve We’ll do c & d tomorrowIf a is (+), typical cosine curve If a is (–), reflect through x-axis
Ex 3) Graph b = c = 0 a = –2 d Amp = 2 Per: IL:a = –2 reflect across x-axis
Homework #720 Pg – 4 all, 13 – 20 all
Graphing Trig Functions
extended learning for chapter 11 (graphs)
Trigonometric Functions – Lesson 3
Chapter 14 Trigonometric Graphs, Identities, and Equations
7.9 Graph of Tangent Function. Graph of y = tanx Period = Amplitude = not defined x y 1 –1.
1 Graphs of sine and cosine curves Sections 10.1 – 10.3.
4.5 Graphs of Sine and Cosine Functions AmplitudePeriodTranslations.
4.5 Graphs of Sine and Cosine 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.
Graphs of the Sine and Cosine Functions Section 4.5.
Trig – Section 4 Graphing Sine and Cosine Objectives: To graph sine and cosine curves To find amplitude, period and phase shifts.
Graphing Sine and Cosine. Graphing Calculator Mode— Radians Par Simul Window— –X min = -1 –X max = 2 –X scale = /2 Window— –Y min = -3 –Y max = 3.
Objective Recognize and graph periodic and trigonometric sine and cosine functions.
TRIGONOMETRY, 4.0: STUDENTS GRAPH FUNCTIONS OF THE FORM F(T)=ASIN(BT+C) OR F(T)=ACOS(BT+C) AND INTERPRET A, B, AND C IN TERMS OF AMPLITUDE, FREQUENCY,
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,
4.5 Sinusoidal Graphs Sketching and Writing Equations.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 7.6 Graphs of the Sine and Cosine Functions.
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:
2.8 Cont. Warm-up (IN) 1. Graph Learning Objective: To fit a sinusoidal curve to a set of data.
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.
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