1 / 22

Graphing Cosecant and Secant

Graphing Cosecant and Secant. Using the Graphing Calculator. Mode— Radians Function Sequential. Window— X min = -  X max = 3 X scale = /6. Window— Y min =-5 Y max = 5 Y scale = .5. Press Y=. y 1 = sin (x) y 2 = 1/sin (x). Press Graph. Press Y=. y 1 = 3sin (X)

kamil
Download Presentation

Graphing Cosecant and Secant

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Graphing Cosecant and Secant

  2. Using the Graphing Calculator • Mode— • Radians • Function • Sequential • Window— • X min = -  • X max = 3 • X scale = /6 • Window— • Y min =-5 • Y max = 5 • Y scale = .5

  3. Press Y= • y1 = sin (x) • y2 = 1/sin (x) Press Graph

  4. Press Y= • y1 = 3sin (X) • y2 = 3/sin(x) Press Graph

  5. Press Y= • y1 = sin (X) + 1 • y2 = 1/sin (X) +1 Press Graph

  6. Press Y= • y1 = sin (x + 1) • y2 = 1/sin (x +1) Press Graph

  7. Press Y= • y1 = sin (2x) • y2 = 1/sin (2x) Press Graph

  8. What are you noticing??? • The only points that the two curves have in common are the maxima and minima of the sine curve. • The cosecant curve has asymptotes at the intercepts of the sine curve. • The cosecant curve is just a series of parabola shaped graphs that alternate opening up and then down.

  9. What do you think the secant curve will look like? • Check out your thoughts by … Press Y= • y1 = cos (x) • y2 = 1/cos (x)

  10. So, let’s graph cosecant and secant graphs.

  11. Graphing Cosecant Curve 0 /6 /4 /3 /2 2/3 3/4 5/6  7/6 5/4 4/3 3/2 5/3 7/4 11/6 2 • y = csc (x)

  12. Graphing Cosine Curve 0 /6 /4 /3 /2 2/3 3/4 5/6  7/6 5/4 4/3 3/2 5/3 7/4 11/6 2 • y =sec(x)

  13. So, let’s graph cosecant and secant graphs with key points.

  14. Graphing by Key Points • y = 2 csc x Think: ____________________ Amp = _________ Horizontal Shift = _______ Period = _______ Vertical Shift = _________ Inc. = ______ (0, ) (/2, ) (, ) (3/2, ) (2, )

  15. Graphing by Key Points • y = -2 sec x Think: ____________________ Amp = _________ Horizontal Shift = _______ Period = _______ Vertical Shift = _________ Inc. = ______ (0, ) (/2, ) (, ) (3/2, ) (2, )

  16. Graphing by Key Points • y = sec 4x Think: ____________________ Amp = _________ Horizontal Shift = _______ Period = _______ Vertical Shift = _________ Inc. = ______ (0, ) (/8, ) (/4, ) (3/8, ) (/2, )

  17. Graphing by Key Points • y = 3 csc 1/2x Think: ____________________ Amp = _________ Horizontal Shift = _______ Period = _______ Vertical Shift = _________ Inc. = _____ (0, ) (, ) (2, ) (3, ) (4, )

  18. Graphing by Key Points • y = 3 sec x +2 Think: ____________________ Amp = _________ Horizontal Shift = _______ Period = _______ Vertical Shift = _________ Inc. = ______ (0, ) (/2 ) (, ) (3/2, ) (2, )

  19. Graphing by Key Points • y = sec x +2 Think: ____________________ Amp = _________ Horizontal Shift = _______ Period = _______ Vertical Shift = _________ Inc. = ______ (0, ) (/2 ) (, ) (3/2, ) (2, )

  20. Graphing by Key Points • y = csc (x + ) Think: ____________________ Amp = _________ Horizontal Shift = _______ Period = _______ Vertical Shift = _________ Inc. = ______ (-, ) (-/2 ) (0, ) (/2, ) (, )

  21. Graphing by Key Points • y = sec (x - /4) Think: ____________________ Amp = _________ Horizontal Shift = _______ Period = _______ Vertical Shift = _________ Inc. = ______ (/4 , ) (3/4, ) (5/4, ) (7/4, ) (9/4, )

  22. Graphing by Key Points • y = 2 sec (x/2 - /2) -1 Think: ________________ Amp = _________ Horizontal Shift = _______ Period = _______ Vertical Shift = _________ Inc. = ______ (, ) (2, ) (3, ) (4, ) (5, )

More Related