Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 5 - Trigonometric Identities - Section 5.2 Verifying Trigonometric Identities - 5.2 Exercises - Page 208: 30



Work Step by Step

$$A=\cot^4x+3\cot^2x+2$$ We would rewrite $3\cot^2 x$ into $(\cot^2 x+2\cot^2 x)$. $$A=\cot^4 x+\cot^2x+2\cot^2x+2$$ $$A=\cot^2x(\cot^2x+1)+2(\cot^2x+1)$$ $$A=(\cot^2x+1)(\cot^2x+2)$$
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