Precalculus with Limits: A Graphing Approach
Precalculus with Limits: A Graphing Approach
7th Edition
ISBN: 9781305071711
Author: Ron Larson
Publisher: Brooks/Cole
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Chapter 5.2, Problem 29E
To determine

To complete the given table using graphing utility:

    x 0.20.40.60.81.01.21.4

      y1

      y2

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

  y1=1tanx+1cotx,y2=tanx+cotx

Expert Solution & Answer
Check Mark

Answer to Problem 29E

    x 0.20.40.60.81.01.21.4

      y1

    		5.1362.7882. 1462.0012.22.9615.97

      y2

    		5.1362.7882. 1462.0012.22.9615.97

Explanation of Solution

Given:

  y1=1tanx+1cotx,y2=tanx+cotx

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=1tanx+1cotx is:

  Precalculus with Limits: A Graphing Approach, Chapter 5.2, Problem 29E , additional homework tip 1

And graph of function y2=tanx+cotx is:

  Precalculus with Limits: A Graphing Approach, Chapter 5.2, Problem 29E , additional homework tip 2

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

    x 0.20.40.60.81.01.21.4

      y1

    		5.1362.7882. 1462.0012.22.9615.97

      y2

    		5.1362.7882. 1462.0012.22.9615.97

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 .

Previous
Chapter 5.2, Problem 28E
Next
Chapter 5.2, Problem 30E

Chapter 5 Solutions

Precalculus with Limits: A Graphing Approach

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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