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Graphs of Sine and Cosine Section 4.5 Graphs of Sine and Cosine Sine Curve Key Points: 0 Value: 0 1 0 -1 0 π 2π π 2π 1 -1 Cosine Curve Key Points: 0 Value: 1 0 -1 0 1…
Slide 1 4.1 Graphs of Sine and Cosine OBJ: Graph sine and cosine Slide 2 1 DEF: Sine Graph 1 0ππ3π 2π -12 2 0 1 0 -1 0 Slide 3 1 DEF: Sine Graph 1 0ππ3π 2π…
Graphs of Sine and Cosine Functions Section 4.5 Fast Wave, Slow Wave Who cares about waves?? Create the sine and cosine Graphs Creating the Graphs Angle Value Sine Cosine…
Lecture 28: Section 45 Graphs of Sine and Cosine Functions Period of sine and cosine Amplitude of sine and cosine Horizontal translation - phase shift Vertical translations…
Slide 1 4.5 Graphs of Sine and Cosine FUNctions How can I sketch the graphs of sine and cosine FUNctions? Slide 2 Basic Sine and Cosine Curves y = sin xy = cos x Slide 3…
Slide 1 Section 4.5 Graphs of Sine and Cosine Slide 2 Sine Curve Key Points:0 Value: 0 100 π 2π2π π 2π2π 1 Slide 3 Cosine Curve Key Points:0 Value: 1 0 0 1 π 2π2π…
10.1 Graph Sine, Cosine, and Tangent Functions 10.1 Graph Sine, Cosine, and Tangent Functions Vocabulary p. 612 Graph (a) y = 4 sin x SOLUTION 2 b π = 2 1 π = 2π. a. The…
Slide 110.1 Graph Sine, Cosine, and Tangent Functions Slide 2 Vocabulary Slide 3 Slide 4 Slide 5 p. 612 Slide 6 Slide 7 Slide 8 Graph (a) y = 4 sin x SOLUTION 2 b π = 2…
Slide 1 4.3 Period Changes and Graphs other Trig Functions Obj: Graph sine and cosine with period changes Obj: Graph other Trig Functions 2 EX: Graph y = 3 – 2 cos…
5.2 | Unit Circle: Sine and Cosine Functions Learning Objectives In this section, you will: 5.2.1 Find function values for the sine and cosine of 30° or ⎛⎝π6 ⎞ ⎠,…
Ch. 2 Graphs of the Trigonometric Functions Inverse Trigonometric Functions 2.1 Graphs of Sine and Cosine Functions 1 Understand the Graph of y = sin x MULTIPLE CHOICE. Choose…
Slide 1 Trigonometric Functions Slide 2 Examples Find Sine, Cosine and Tangent of θ Sine = 12/15 =.8 Cosine = 9/15 =.6 Tangent = 12/9 = 1.33 (or 4/3) Slide 3 Reciprocals…
Sine and Cosine Recall that pX : R2 → R where pX(x, y) = x is the projection onto the x-axis, and that pY : R2 → R where pY (x, y) = y is the projection onto the
Module 2: Trigonometry Section 1 Trigonometric Functions 3 Lesson 1 The Trigonometric Values for θ, 0°≤ θ ≤ 360° 5 Lesson 2 Solving Trigonometric Equations, 0° ≤…
56 56 x y 1 sin x 2 coordinates 0 y 1 sin 0 = − 2 1 ⋅ 0 = 0 = − 2 0, 0 π 2 1 π y = − sin 2 2 1 ⋅1 = − 1 = − 2 2 π 1 , − 2 2 π y 1 sin π =…
Section 94 Graphing Sine and Cosine Functions 485 Graphing Sine and Cosine Functions94 Essential QuestionEssential Question What are the characteristics of the graphs of…
Slide 1Trigonometric Equations In quadratic form, using identities or linear in sine and cosine Slide 2 Solving a Trig Equation in Quadratic Form Solve the equation: 2sin…
5.2 Unit Circle: Sine and Cosine Functions Learning Objectives In this section, you will: 5.2.1 Find function values for the sine and cosine of 30° or ⎛⎝π6 ⎞ ⎠,…
102N – Graphing Sine and Cosine A Graph Sine and Cosine Parent sine graph 𝑓𝜃 = sin𝜃 Parent cosine graph 𝑓𝜃 = cos𝜃 Draw the graph and make a table Draw…
Slide 1 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 (called the…