Answer
See below.
Work Step by Step
Using the learned identities: $\sec^2x\csc^2x=\frac{1}{\cos^2x\sin^2x}=\frac{\cos^2x+\sin^2x}{\cos^2x\sin^2x}=\frac{1}{\cos^2x}+\frac{1}{\sin^2x}=\sec^2x+\csc^2x$
Hence we proved what we had to.
Trigonometry 7th Edition
by McKeague, Charles P.; Turner, Mark D.
Published by
Cengage Learning
ISBN 10:
1111826854
ISBN 13:
978-1-11182-685-7
Chapters 1-8 - Cumulative Test - Page 477: 12
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