Answer
$(2~csc~x+2)(2~csc~x-2)=4~cot^2x$
Work Step by Step
Remember that:
$csc^2x=cot^2x+1$
$csc^2x-1=cot^2x$
$(2~csc~x+2)(2~csc~x-2)=(2~csc~x)^2-2^2=4~csc^2x-4=4(csc^2x-1)=4~cot^2x$
Algebra and Trigonometry 10th Edition
by Larson, Ron
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: 42
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