Collect Interims and test corrections!

Slides:



Advertisements
Similar presentations
Reading and Drawing Sine and Cosine Graphs
Advertisements

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.
6.4 Graphs of Sine and Cosine
Translating Sine and Cosine Functions Section 13.7.
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,
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.
Graphs of Sine and Cosine
State the amplitude and period for each function
Chapter 4 Trigonometric Functions
Aim: How do we sketch y = A(sin Bx) and
Trigonometric Functions
Sinusoidal Curve Fitting
Copyright © 2013, 2009, 2005 Pearson Education, Inc. 1 4 Graphs of the Circular Functions Copyright © 2013, 2009, 2005 Pearson Education, Inc. 1.
Homework Questions? Discuss with the people around you. Do not turn in Homework yet… You will do it at the end of class.
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.
9) P = π10) P = π/211) P = π/5; ± π/10 12) P = (2 π)/3; ± π/313) P = π/4; ± π/8 14) P = (3π 2 )/2; ±(3π 2 )/4 15) 16) 17) 18)
Graphing Sine and Cosine Amplitude Horizontal & Vertical Shifts Period Length.
Section 4.5 Graphs of Sine and Cosine. Sine Curve Key Points:0 Value: π 2π2π π 2π2π 1.
4.4 Graphing sin and cos Functions. 5–Minute Check 1 Let (–5, 12) be a point on the terminal side of an angle θ in standard position. Find the exact values.
12.7 Graphing Trigonometric Functions Day 1: Sine and Cosine.
Notes Over 14.2 Translations of Trigonometric Graphs Translation of a Sine Function Amplitude Period.
Intro U4D9 Warmup Evaluate each equation for x = –1, 0, and y = 3x 2. y = x – 7 3. y = 2x y = 6x – 2 –3, 0, 3 –8, –7, –6 3, 5, 7 –8, –2, 4.
Precalculus 4.5 Graphs of Sine and Cosine 1 Bellwork 60° 13 Find the two sides of this triangle.
Splash Screen.
Graphs of Sine and Cosine
Essential Question: How do we graph trig functions, their transformations, and inverses? Graphs of Sine and Cosine.
y = | a | • f (x) by horizontal and vertical translations
Graphs of Cosine Functions (part 2)
Transformations of the Graphs of Sine and Cosine Functions
Transformations of the Graphs of Sine and Cosine Functions
Writing Equations of Trigonometric Graphs
M3U7D2 Warm Up Collect INTERIMS!!! (x+4)2 (x-7)2 c = 36 (x+6)2
Objective: Graphs of sine and cosine functions with translations.
6.5 – Translation of Sine and Cosine Functions
Warm Up Evaluate Find the measure of the reference angle for each given angle that would be on the unit circle ° 5.
14.2 Translations and Reflections of Trigonometric Graphs
2.1 Graphs of Sine and Cosine Functions
Chapter 4: Lesson 4.5 Graphs of Sine and Cosine Functions
Transformations of the Graphs of Sine and Cosine Functions
Splash Screen.
Warm-up: Solve for x. HW: Graphing Sine and Cosine Functions.
Work on worksheet with 8 multiple choice questions.
Writing Equations of Trigonometric Graphs
Collect test corrections!
5.2 Transformations of Sinusoidal Functions
Collect test corrections!
Graphing Trigonometric Functions
Graphs of Sine and Cosine
M3U7D2 Warm Up (x+4)2 (x-7)2 c = 36 (x+6)2 1. Factor 2. Factor
Translations of Trigonometric Graphs.
Translations of Sine and Cosine Functions
Graphs of Sine and Cosine Functions
M3U7D3 Warm Up Shifted up one Stretched by 3 times
Notes Over 6.4 Graph Sine, Cosine Functions.
Frequency and Phase Shifts
4.5 Basic Sine/Cosine Graphs
Circles.
4.2 – Translations of the Graphs of the Sine and Cosine Functions
Trigonometric Functions
Writing Trig Functions
On the unit circle, which radian measure represents the point located at (− 1 2 , − 3 2 )? What about at ( 2 2 , − 2 2 )? Problem of the Day.
4.5 Graphs of Sine and Cosine Functions
Section 4.5 Graphs of Sine and Cosine Functions
What is your best guess as to how the given function
Graphing: Sine and Cosine
8.3 – Model Periodic Behavior
Warm-up: For the following equation, give the required values and graph. For the shifts, give direction as well as units of translation. If there is.
Trigonometric Functions
pencil, highlighter, calculator, notebook, assignment
Presentation transcript:

Collect Interims and test corrections! M3U7D4 Warm Up 1. How long does it take to travel all the way around the unit circle? 2. What is the maximum sine value? 3. What is the maximum cosine value? Also called a period 360o or 2 1 1 Collect Interims and test corrections!

HW Check: pp. 12-13 Interims?

U7D4 Graphing Sine and Cosine functions OBJ: Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline. F-TF.5

Watch!

Watch!

Watch!

Watch!

Watch!

REMEMBER, Online Quizzes due FRIDAY! Watch!

Summary: WRITE THIS DOWN y = d + a sin (bx - c) y = d + a cos (bx - c) a is the amplitude period = or is the horizontal translation d is the vertical translation

When you graph, start here: Analyze the graph of amplitude = period = horizontal translation: vertical translation: none

Analyze the graph of 3 (to the left) amplitude = period = horizontal translation: vertical translation: none

Analyze the graph of 3 amplitude = period = horizontal translation: none vertical translation: Up 2

Graph and Analyze y = -2 + 3 cos (2x - 90°) 3 x y high 1 amplitude = 45° 3 amplitude = 90° -2 mid period = = 180° 135° low -5 horizontal translation: 180° -2 mid (to the right) 225° 1 high vertical translation: down 2 3) divide period by 4 to find increments 1) horiz. tells you where to start 180 4 = 45 2) add the period to find out where to finish table goes in increments of 45 4) plot points and graph 45 + 180 = 225

REMEMBER… You must know how to analyze the equation before you can graph it. The most important thing to remember about graphing is determining the starting point and the stopping point on the t-table.

Classwork pp. 16, 20 Homework pp. 18-19 and pp. 22-23 all