Answer
$tan^2x(csc^2x-1)=1$
Work Step by Step
$1+cot^2x=csc^2x$
$cot^2x=csc^2x-1$
$tan~x=\frac{1}{cot~x}$
$tan~x~cot~x=1$
$tan^2x(csc^2x-1)=tan^2x~cot^2x=(tan~x~cot~x)^2=1^2=1$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 7 - Review Exercises - Page 552: 9
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