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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

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 10DE
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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 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.
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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