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Trig – Section 4 Graphing Sine and Cosine Objectives: To graph sine and cosine curves To find amplitude, period and phase shifts.
Sine Curve: (1,0) (0,1) (-1, 0) (0,-1) 0 22 1
Ex 1. Graph the following functions. a)y = -sin x b)y = ½ sin x 1 1
c)y = 1 + sin x d)y = 2sin x 1 1
Cosine Curve: (1,0) (0,1) (-1, 0) (0,-1) 0 22 1
Ex 2. Graph the following functions. a)y = cos x b)y = 2 + cos x 1 1
c) y = -3cos x 1
Class Work 1. Graph y = 1 – sin x 2. Graph y = -1 + cos x 3. Graph
Amplitude and Period of Sine and Cosine Curves:
Ex 3. Find the amplitude and period of each function. a) b) c)
Shifted Sine and Cosine Curves: The sine and cosine curves have amplitude of, period, and phase shift b.
Find the amplitude, period, and phase shift of the following. a) b) c)
Class Work Find the amplitude period and phase shift of the following
HW #6 Graphing Worksheet HW #7 Amplitude, Period, and Phase Shift Worksheet All
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.
Section 4.5 Graphs of Sine and Cosine. Sine Curve Key Points:0 Value: π 2π2π π 2π2π 1.
Graphing Sine and Cosine. Video Graphing Calculator Mode— Radians Par Simul Window— –X min = -1 –X max = 2 –X scale = /2 Window— –Y min = -3 –Y max.
Chapter 6 – Graphs and Inverses of the Trigonometric Functions.
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.
January 24 th copyright2009merrydavidson. y = cos x.
Section 4.5 Graphs of Sine and Cosine Functions. The Graph of y=sin x.
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.
Periodic Function Review Degrees vs. Radians. Reciprocal Functions.
Trigonometric of any Angle Pg. 501 – 514 LEARNING OBJECTIVES; Use the definitions of trigonometric functions of any angle. Use the signs of the trigonometric.
20 Days. Three days Graphing Sine and Cosine WS.
Using Transformations to Graph the Sine and Cosine Curves The following examples will demonstrate a quick method for graphing transformations of.
Graphs of the Sine and Cosine Functions Section 6.
Graphs of the Sine and Cosine Functions Section 4.5.
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.
Graphs of Cosine Section Objectives I can determine all key values for 6 trig functions I can graph cosine functions I can determine amplitude,
State the amplitude and period for each function. Then graph each function. 1. 2. 3. Write an equation of the sine function with amplitude 0.27.
Trig Graphs. y = sin x y = cos x y = tan x y = sin x + 2.
Graphing Trig Functions Review Whiteboard Activity.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 7.6 Graphs of the Sine and Cosine Functions.
7.9 Graph of Tangent Function. Graph of y = tanx Period = Amplitude = not defined x y 1 –1.
6.3 Graphing Sine and Cosine Functions Objective: Use the graphs of the sine and cosine functions.
UNIT 6: GRAPHING TRIG AND LAWS Final Exam Review.
Ch.6 Section 5 Translations of Sine and Cosine Functions.
4.1 Graphs of Sine and Cosine OBJ: Graph sine and cosine.
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,
Translations of Trigonometric Graphs LESSON 12–8.
Concept. Example 1 Graph Phase Shift State the amplitude, period, and phase shift for the function y = 2 sin (θ + 20°). Then graph the function. Since.
Trigonometry Section 7.4 Find the sine and cosine of special angles. Consider the angles 20 o and 160 o Note: sin 20 o = sin160 o and cos 20 o = -cos 160.
Notes Over 14.1 Graph Sine, Cosine, and Tangent Functions.
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.
14.1 Trig. Graphs. Example 1-1a Find the amplitude and period for. Then graph the function. First, find the amplitude. The coefficient of Next, find the.
2/28/2016 Perkins AP Calculus AB Day 1 Trig (Appendix Section 3)
Warm-up Graph the following and find the amplitude, period, increment, S.A., starting point, domain and range. Y = -2sin(2x + 4π) – 1.
Do Now: If y = 2sin 2x, fill in the table below Aim: How do we sketch y = A(sin Bx) and y = A(cos Bx)? HW: Handout.
Trigonometric Functions Sine and Cosine Functions.
Module 6.4 Graphing Sine and Cosine Functions with Different Amplitudes and Periods.
This is the graph of y = sin x o The maximum value of sin x o is 1 The minimum value of sin x o is -1 Amplitude = 1 We say the period of y = sin x o is.
More Trig – Graphing Trig Functions Learning Objective: To graph the sin, cos and tan functions and their transformations Warm-up (IN) Evaluate. Give exact.
Aim: How do we solve trig equations using reciprocal or double angle identities? Do Now: 1. Rewrite in terms of 2. Use double angle formula to rewrite.
Section 7.2 Addition and Subtraction Formulas Objectives: To understand how to apply the addition and subtraction formulas.
Graphs of the Trig Functions Objective To use the graphs of the trigonometric functions.
Section 8-2 Sine and Cosine Curves. Recall… The Sine Graph.
Page 309 – Amplitude, Period and Phase Shift Objective To find the amplitude, period and phase shift for a trigonometric function To write equations of.
2.6 Cont. Warm-up (IN) 1.Identify the transformations from to 2.Graph Learning Objective: To be able to identify the amplitude, period, 4 sub- intervals,
Class Work 1.Find the exact value of cot 330 2. Find sin2x, cos2x, and tan2x given tan x = -3/2 and 90 < x< 180.
Sullivan Precalculus: Section 5.4 Graphing the Sine and Cosine Functions Objectives of this Section Graph Transformations of the Sine Function Graph Transformations.
6.4 Amplitude and Period of Sine and Cosine Functions.
Chapter 6 Section 6.4 Translations of the Graphs of Sine and Cosine Functions.
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