Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 7 - Trigonometric Identities and Equations - 7.2 Verifying Trigonometric Identities - 7.2 Exercises: 66

Answer

$\sin ^{2}\theta \left( 1+6t^{2}\theta \right) -1=\\sin ^{2}\theta +\cos ^{2}\theta -1=1-1=0$

Work Step by Step

$\sin ^{2}\theta \left( 1+6t^{2}\theta \right) -1=\sin ^{2}\theta +\sin ^{2}\theta \cot ^{2}\theta -1=\sin ^{2}\theta +\sin ^{2}\theta \dfrac {\cos ^{2}\theta }{\sin ^{2}\theta }-1=\sin ^{2}\theta +\cos ^{2}\theta -1=1-1=0$
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