Consider the trigonometric function y 2sin -).We wil il out the table and plot 5 points so that we can see the graph and sketch it Let equal Solve for from last line Thus, sin Ge-5). equal Solve fory The 5 points are xfrom row 2 yvalue from row 4 ter 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 S points to the left and right because the graph of sine function is periodic.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 64E
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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
1
Let -a -
equal
27
2
Solve for æ from last line
sin (- - -) =
1
-1
equal
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
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 1 Let -a - equal 27 2 Solve for æ from last line sin (- - -) = 1 -1 equal 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
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