Download presentation

Presentation is loading. Please wait.

Published byShayna Roling Modified over 2 years ago

1
4.5 Graphs of Sine and Cosine Functions AmplitudePeriodTranslations

2
The graph of f(x)=sin x Domain all Real numbers Range -1 to 1

3
The graph of f(x)=sin x Sin x is an odd function

4
Graph of f(x) = -sin x

5
Graph of the f(x) = Cos x Domain: All real numbers Range: -1 to 1

6
Graph of the f(x) = Cos x Cos x is an even function

7
The red graph is Sin and the blue is Cos

8
Amplitude changes the Range

9
Since Amplitude is a distance, it is always positive. To find it: the absolute value of the Maximum minus the Minimum divide by two. Amp is written before the function y = a*sin x

10
Amplitude changes the Range Max 7; Min - 1 Amp.

11
Period (wave length) The distance before the function repeats its value. y = sin bx; here b is 1.

12
Period (wave length) y = sin 2x b = 2

13
Translation to move the graph of the functiony = sin (x + c): moves Right or Left Here is

14
Translation to move the graph of the functiony = sin x + d moves up or down Here is

15
With all the translations The sine function is f(x) = d + a sin b(x +c) The cosine function is f(x) = d + a cos b(x +c)

16
Applet for the Sine function http://www.analyzemath.com/trigonometry/ sine.htm

17
Homework Page 307 – 310 #3, 9, 14, 20, 26, 32, 41, 49, 71, 78

18
Homework Page 307 – 310 #7, 12, 17, 23, 27, 36, 45, 60, 76, 86

Similar presentations

Presentation is loading. Please wait....

OK

Aim: How do we sketch y = A(sin Bx) and

Aim: How do we sketch y = A(sin Bx) and

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on general insurance in india Pdf to ppt online convertor Ppt on world war 1 and 2 Ppt on participatory monitoring and evaluation Ppt on 10 figures of speech Ppt on regional transport office bangalore Ppt on perimeter and area of plane figures Ppt on sources of energy for class 8th science Ppt on cross docking technique Ppt on sigma and pi bonds