Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 14 - Trigonometric Identities and Equations - 14-1 Trigonometric Identities - Practice and Problem-Solving Exercises - Page 908: 37



Work Step by Step

By identity, $csc\theta=\frac{1}{sin\theta}$ $$=\frac{1}{sin^{2}\theta}\times(1-cos^{2}\theta)$$ By identity, $sin^{2}\theta+cos^{2}\theta=1$ (Rearrange and replace 1-$cos^{2}\theta$ with $sin^{2}\theta$, $$=\frac{sin^{2}\theta}{sin^{2}\theta}=1$$
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