Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 7 - 7.1 - Using Fundamental Identities - 7.1 Exercises - Page 513: 27

Answer

$cot^3x+cot^2x+cot~x+1=csc^2x(cot~x+1)$

Work Step by Step

Remember that: $csc^2x=cot^2x+1$ $cot^3x+cot^2x+cot~x+1=cot^2x(cot~x+1)+1(cot~x+1)=(cot^2x+1)(cot~x+1)=csc^2x(cot~x+1)$
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