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 5.4 Sum and Difference Identities for Sine and Tangent - 5.4 Exercises - Page 227: 40


$$\tan(\frac{\pi}{4}+x)=\frac{1+\tan x}{1-\tan x}$$

Work Step by Step

$$\tan(\frac{\pi}{4}+x)$$ Apply the identity of tangent of a sum here, we have $$=\frac{\tan\frac{\pi}{4}+\tan x}{1-\tan\frac{\pi}{4}\tan x}$$ $$=\frac{1+\tan x}{1-1\times \tan x}$$ $$=\frac{1+\tan x}{1-\tan x}$$
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