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: 26

Answer

$4$

Work Step by Step

$\left( \tan x+\cot x\right) ^{2}-\left( \tan x-\cot x\right) ^{2}=\left( \left( \tan x+\cot x\right) -\left( \tan x-\cot x\right) \right) \left( \left( \tan x+\cot \right) +\left( \tan x-\cot x\right) \right) $ $=2\cot x\times 2\tan x=4$
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