Download
graphs of sine and cosine functions n.
Skip this Video
Loading SlideShow in 5 Seconds..
Graphs of Sine and Cosine Functions PowerPoint Presentation
Download Presentation
Graphs of Sine and Cosine Functions

Graphs of Sine and Cosine Functions

151 Vues Download Presentation
Télécharger la présentation

Graphs of Sine and Cosine Functions

- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

  1. Graphs of Sine and Cosine Functions Lesson 2.5

  2. Ordered Pairs • Consider the values for x and y in the table to the right • Note • Period = 2π • Maximum y values • Minimum y values

  3. Period = 2π Maximum and minimum values Graphing the Ordered Pairs

  4. Graphing on Calculator • Go to ♦Y= screen • Enter function • Choose F2, zoom 7-Trig • Graph is plotted • Tic marks are inunits of π/2 Try Web Graphing Utility

  5. amplitude = 1 Amplitude • Defined as the absolute value of maximum or minimum of the function • Try graphingy = 2 cos x • What is the amplitude • For y = a cos x or y = a sin x • The amplitude is |a|

  6. Period of a Trig Function(Recall slide from previous lesson) • The functions repeat themselves • The period is the smallest value, p for which f(x) = f(x + p) • For sin, cos, sec, csc • The period is 2π • For tan and ctn • The period is π

  7. Period of a Trig Function • What happens for ? • Try graphing y = sin 3x • What is the period? • Try y = cos 0.5x • What is the period? • For • Period = Same for cos, sec, csc

  8. Period of a Trig Function • For tangent • Note amplitudeis without bound • Period is π • For • Period = • Predict the period fory = tan (1/3 x) • Graph it and verify your prediction

  9. Assignment • Lesson 2.5 • Page 177 • Exercises 1 – 61 EOO also 63