Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 6 - Trigonometric Functions - Chapter Review - Review Exercises - Page 434: 11

Answer

$1$

Work Step by Step

I know that $\sec x=\frac{1}{\cos(x)}$, hence $\frac{1}{\sec^2{x}}=\cos^2{x}.$ We also know that $\sin^2{x}+\cos^2{x}=1$. Hence: $\frac{1}{\sec^2{x}}+\sin^2{x}=\cos^2{x}+\sin^2{x}=1$.
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