Section 3 – Graphing Sine and Cosine Functions

Slides:



Advertisements
Similar presentations
Inverse Trigonometric Functions Recall some facts about inverse functions: 1.For a function to have an inverse it must be a one-to-one function. 2.The.
Advertisements

Trig – Section 4 Graphing Sine and Cosine Objectives: To graph sine and cosine curves To find amplitude, period and phase shifts.
Honors Pre-Cal Mrs. Cortez. xy = sin(x) 00 π /6½ π /21 5 π /6½ π 0 7 π /6-½-½ 3 π /2 11 π /6-½-½ 2π2π 0.
Chapter 6 – Graphs and Inverses of the Trigonometric Functions
Homework Questions.
Section 5.5 Inverse Trigonometric Functions & Their Graphs
Graphs Cosecant Section 4.6 Objectives Graph cosecant functions Know key characteristics of the cosecant function.
Section 6.4 Inverse Trigonometric Functions & Right Triangles
6.4 Amplitude and Period of Sine and Cosine Functions.
Class Work Find the exact value of cot 330
Sullivan Precalculus: Section 5.4 Graphing the Sine and Cosine Functions Objectives of this Section Graph Transformations of the Sine Function Graph Transformations.
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.
Math – Graphs of Functions 1. Graph of a function: the graph of all the function’s ordered pairs 2.
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.
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.
6.3 Graphing Sine and Cosine Functions Objective: Use the graphs of the sine and cosine functions.
Section Inverse Sine and Cosine. Lesson Objective: Students will: Graph the relations for inverse sine and cosine. Restrict the range for to make.
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.
ANSWERS. Using Trig in every day life. Check Homework.
S UM AND D IFFERENCE I DENTITIES Objective To use the sum and difference identities for the sine, cosine, and tangent functions Page 371.
Trigonometric Functions:Unit Circle
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
1.9 Inverse Trig Functions Obj: Graph Inverse Trig Functions
Section 1.7 Inverse Trigonometric Functions
Objective: Graphs of sine and cosine functions with translations.
The Inverse Sine, Cosine, and Tangent Functions
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Graphs of Sine and Cosine Functions
Sum and Difference Identities
Chapter 4: Lesson 4.5 Graphs of Sine and Cosine Functions
The Inverse Sine, Cosine, and Tangent Functions
Pre-AP Pre-Calculus Chapter 5, Section 3
5.2 Transformations of Sinusoidal Functions
Inverse Trigonometric Functions
Graphing Trigonometric Functions
Chapter 7/8: Sinusoidal Functions of Sine and Cosine
Graphs of Trigonometric Functions
TRIGONOMETRIC GRAPHS.
The Inverse Sine, Cosine, and Tangent Functions
Piecewise-defined Functions
State the period, phase shift, and vertical shift
Graphing and Evaluating The Piecewise Function A Series of Examples
Graphing sin(x) and cos(x)
Section 3.5 Cosecant Secant and Cotangent Functions
Section 5.2 – Logarithmic Functions
The Inverse Sine, Cosine and Tangent Function
Chapter 12 Review Domain: Range: x y
Graph 2x + 4y = 16 by finding the x and y intercepts.
Sullivan Algebra and Trigonometry: Section 7.6
Graph of Secant, Cosecant, and Cotangent
4.2 – Translations of the Graphs of the Sine and Cosine Functions
5.4 Graphs of the Sine and Cosine Functions
Inverse Trigonometric Functions
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Trigonometric Functions
4.1 – Graphs of the Sine and Cosine Functions
Section 4.5 Graphs of Sine and Cosine Functions
Graphs of the Sine and Cosine Functions
Chapter 9 Lesson 1 Graph a Line Using Intercepts pg. 677
Graphing: Sine and Cosine
Section 4 – Writing Linear Equations
Section 5.5 Graphs of Sine and Cosine Functions
Chapter 9 Lesson 1 Graph a Line Using Intercepts pg. 677
Homework Questions.
The Inverse Sine, Cosine, and Tangent Functions
Quick Review Graph the function: 2tan
Chapter 2 Functions, Equations, and Graphs
pencil, highlighter, calculator, notebook, assignment
The Inverse Sine, Cosine, and Tangent Functions
What is the radian equivalent?
Presentation transcript:

Section 3 – Graphing Sine and Cosine Functions Chapter 6 Section 3 – Graphing Sine and Cosine Functions

Properties of y = sin x The period is 2π The domain is IR The range is [-1,1] The x-intercepts are located at nπ The y-intercept is 0

Examples EX 1: Find sin 9π/2 by referring to the graph. EX 2: Find the values of Ѳ for which sin Ѳ = 0. EX 3: Graph y = sinx for 3π ≤ x ≤ 5π

Properties of y = cos x The period is 2π The domain is IR The range is [-1,1] The x-intercepts are π/2 + nπ The y-intercept is 1

Assignment Chapter 6, Section 3 pgs 363-365 #14-24E,28-34E,41,42, 52