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 byGlen Burston
Modified about 1 year ago
Sin & Cos Graphs
Let’s explore the sine graph! http://www.mathcasts.org/gg/student/trig/sine _unit_circle_degrees.html http://www.mathcasts.org/gg/student/trig/sine _unit_circle_degrees.html http://www.mathcasts.org/gg/student/trig/sine _unit_circle_degrees_plus.html http://www.mathcasts.org/gg/student/trig/sine _unit_circle_degrees_plus.html
y = sin Ѳ 0
Let’s explore the cosine graph. http://www.mathcasts.org/gg/student/trig/cosi ne_unit_circle_degrees_plus.html http://www.mathcasts.org/gg/student/trig/cosi ne_unit_circle_degrees_plus.html http://www.mathcasts.org/gg/student/trig/cosi ne_unit_circle_rad.html http://www.mathcasts.org/gg/student/trig/cosi ne_unit_circle_rad.html
y = cos Ѳ 0
Let’s graph it on the calculator. Make sure the calculator is in radian mode Type sin(x) in y1 Press zoom trig Now let’s look at y = cos(x).
Transformations of Sine & Cosine Graphs
Transformation of sine http://www.geogebra.org/en/upload/files/engli sh/Roger_Moss/curve_transformations.html http://www.geogebra.org/en/upload/files/engli sh/Roger_Moss/curve_transformations.html
y= A sin (k Ѳ+c) + d Amplitude = (A) Period = Phase Shift =
Write the equation of the sine function with the following features. Amplitude = 5 Period = 90° PS = 4°
Write the equation of the sine function with the following features. Amplitude = 4 Period = PS =
Homework Worksheet #1
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. Video Graphing Calculator Mode— Radians Par Simul Window— –X min = -1 –X max = 2 –X scale = /2 Window— –Y min = -3 –Y max.
UNIT 6: GRAPHING TRIG AND LAWS Final Exam Review.
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.
CHAPTER 4 – LESSON 1 How do you graph sine and cosine by unwrapping the unit circle?
Periodic Function Review Degrees vs. Radians. Reciprocal Functions.
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.
Homework Questions. Section 4.4 Graphing sin(x) and cos(x) Investigation FIRST! Investigation FIRST! Input/Output discussion Input/Output discussion Do.
Graphs of the Sine and Cosine Functions Section 4.5.
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.
6.3 – GRAPHING SINE AND COSINE FUNCTIONS. Periodic Function and Period A function is periodic if, for some real number α, f(x + α) = f(x) for each x.
January 24 th copyright2009merrydavidson. y = cos x.
If is measured in radian Then: If is measured in radian Then: and: - <1-cos < - < sin <
Graphs of the Sine and Cosine Functions Section 6.
1 7.6 Graphs of the Sine and Cosine Functions 7.8 Phase shift; Sinusoidal Curve Fitting In these sections, we will study the following topics: The graphs.
4.7 Inverse Trig Functions. By the end of today, we will learn about….. Inverse Sine Function Inverse Cosine and Tangent Functions Composing Trigonometric.
Evaluating Sine & Cosine and and Tangent (Section 7.4)
Chapter 6 – Graphs and Inverses of the Trigonometric Functions.
Graphing Trig Functions Review Whiteboard Activity.
1. sin (-720°) 2. tan (-180°) 3. cos (540°) 4. tan ( π ) 5. csc (4 π ) 6. sec ( π ) Undefined.
6.5.3 – Other Properties of Inverse Functions. Just like other functions, we need to consider the domain and range of inverse trig functions To help us.
Section 4.5 Graphs of Sine and Cosine. Sine Curve Key Points:0 Value: π 2π2π π 2π2π 1.
Graphing Cosecant and Secant. Using the Graphing Calculator Mode— Radians Function Sequential Window— –X min = - –X max = 3 –X scale = /6 Window—
4.5 Sinusoidal Graphs Sketching and Writing Equations.
Translating Sine and Cosine Functions Section 13.7.
12.7 Graphing Trigonometric Functions Day 1: Sine and Cosine.
Ch.6 Section 5 Translations of Sine and Cosine Functions.
Algebra II Honors Problem of the Day Homework: p a,b,g,3c,d,5,9,13,29,41,43 After watching the video graph y = cos t and y = sin t. graphing the.
Notes Over 14.1 Graph Sine, Cosine, and Tangent Functions.
Period and Amplitude Changes. Objectives : 1. Evaluate sine and cosine functions with amplitude and period changes Vocabulary : Amplitude, period.
6.5 & 6.7 Notes Writing equations of trigonometric functions given the transformations.
5.2 Transformations of Sinusoidal Functions Electric power and the light waves it generates are sinusoidal waveforms. Math
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.
1 Graphs of sine and cosine curves Sections 10.1 – 10.3.
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.
Warm UpNov. 25 th Determine whether to us the Law of Sine or Cosine and solve for the missing pieces. 1. Δ ABC with a = 12, B = 13 ˚, C= 24 ˚ 2. Δ ABC.
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.
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.
Simple Trigonometric Equations The sine graph below illustrates that there are many solutions to the trigonometric equation sin x = 0.5.
Trig Transformations y=sint t y We need to sketch the graph of y = 3sin(5t+90)
Inverse Trig Functions Objective: Evaluate the Inverse Trig Functions.
Graph: x + y = 5 1. Solve for y. 2. Make an X|Y chart. 3. Graph.
Graphing Sine and Cosine Section 4.5. Objectives Students will be able to… Use the unit circle to generate the parent graphs of sine and cosine Recognize.
Inverse Trig Functions Vocabulary Inverse Cosine Function (cos -1 ) – The function y=cos -1 x = Arccos x, if and only if x = cos y and 0 ≤ y ≤ π Inverse.
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.
Warm- Up 1. Find the sine, cosine and tangent of A. 2. Find x. 12 x 51° A.
4.5 – Graphs of Sine and Cosine A function is periodic if f(x + np) = f(x) for every x in the domain of f, every integer n, and some positive number p.
Describe the vertical shift in the graph of y = -2sin3x + 4. A.) Up 2 B.) Down 2 C.) Up 4 D.) Down 4.
4.3 Period Changes and Graphs other Trig Functions Obj: Graph sine and cosine with period changes Obj: Graph other Trig Functions.
© 2017 SlidePlayer.com Inc. All rights reserved.