Consider the trigonometric function y= 2sin -) We will il out the table and plot 5 points so that we can see the graph and sketch it Solve for from last line -1 Solve for y The 5 points are: x from row 2. y value from row 4 her we have 5 points, we know that the graph of sine looks like a wave. Hence, the graph can be sketched with the S points. You can extend the graph by copying the graph from the 5 points to the left and right because t grach of sine function is periodic. Create a similar table to sketch the graph of y Consider the function y= 2sec-) Because of the identity secz we can sketch the graph of y = 2cosz-) and then sketch the graph of y= 2sec-) by ficoing the grach to get "Ushape and "n" shape. cos
Consider the trigonometric function y= 2sin -) We will il out the table and plot 5 points so that we can see the graph and sketch it Solve for from last line -1 Solve for y The 5 points are: x from row 2. y value from row 4 her we have 5 points, we know that the graph of sine looks like a wave. Hence, the graph can be sketched with the S points. You can extend the graph by copying the graph from the 5 points to the left and right because t grach of sine function is periodic. Create a similar table to sketch the graph of y Consider the function y= 2sec-) Because of the identity secz we can sketch the graph of y = 2cosz-) and then sketch the graph of y= 2sec-) by ficoing the grach to get "Ushape and "n" shape. cos
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Question
#3
Transcribed Image Text:1. Consider the trigonometric function y = 2 sin(x – =)
We will fill out the table and plot 5 points so that we can see the graph and sketch it.
37
equal
6
Let
2
2
Solve for æ from last line
Thus, sin|
equal
1
-1
Solve for y
The 5 points are: x from row 2, y value from row 4
After we have 5 points, we know that the graph of sine looks like a wave. Hence, the graph can be sketched with the 5 points. You can extend the graph by copying the graph from the 5 points to the left and right because the graph of sine function is periodic.
2. Create a similar table to sketch the graph of y = -3 cos
(을+ )
1
, we can sketch the graph of y =2
cos a
3. Consider the function y = 2 sec (T - ). Because of the identity sec a =
and then sketch the graph of y = 2 sec
by flipping the graph to get "U" shape and "n" shape.
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