PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
8th Edition
ISBN: 9781337904285
Author: Larson
Publisher: CENGAGE L
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Question
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Chapter 5.2, Problem 44E
To determine

To complete the given table using graphing utility:

    x0.20.40.60.81.01.21.4
    y1
    y2

And using graph and completed table prove y1=y2 , where

  y1=secx−cosx,y2=sinxtanx

Expert Solution & Answer
Check Mark

Answer to Problem 44E

    x0.20.40.60.81.01.21.4
    y10.040.1650.3860.7391.3112.3975.174
    y20.040.1650.3860.7391.3112.3975.174

Explanation of Solution

Given:

  y1=secx−cosx,y2=sinxtanx

Calculation:

To complete the given table first draw the graphs of functions y1, and y2 using graphing tool and check the values of graph at given points and note them down in their corresponding places.

Graph of function y1=secx−cosx is

  PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS), Chapter 5.2, Problem 44E

And graph of function y2=sinxtanx is

Now, complete the given table using the above graphs by filling the value of respective functions at given points:

    x0.20.40.60.81.01.21.4
    y10.040.1650.3860.7391.3112.3975.174
    y20.040.1650.3860.7391.3112.3975.174

Now, note from above that graph of both functions y1, and y2 are similar and also the value of both functions at given points is same.

Thus, it is proved that y1=y2 .

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Chapter 5.2, Problem 43E
Next
Chapter 5.2, Problem 45E

Chapter 5 Solutions

PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)

Ch. 5.1 - Prob. 1ECh. 5.1 - Prob. 2ECh. 5.1 - Prob. 3ECh. 5.1 - Prob. 4ECh. 5.1 - Prob. 5ECh. 5.1 - Prob. 6ECh. 5.1 - Prob. 7ECh. 5.1 - Prob. 8ECh. 5.1 - Prob. 9ECh. 5.1 - Prob. 10E
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