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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Chapter 5.2, Problem 48E
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=1sinx−1cscx,y2=cscx−sinx

Expert Solution & Answer
Check Mark

Answer to Problem 48E

    x0.20.40.60.81.01.21.4
    y14.8352.1791.2060.6770.3470.1410.029
    y24.8352.1791.2060.6770.3470.1410.029

Explanation of Solution

Given:

  y1=1sinx−1cscx,y2=cscx−sinx

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=1sinx−1cscx is:

  PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS), Chapter 5.2, Problem 48E , additional homework tip 1

And graph of function y2=cscx−sinx is:

  PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS), Chapter 5.2, Problem 48E , additional homework tip 2

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
    y14.8352.1791.2060.6770.3470.1410.029
    y24.8352.1791.2060.6770.3470.1410.029

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 47E
Next
Chapter 5.2, Problem 49E

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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