Answer
The graphs appear to coincide.
Work Step by Step
$$\sec x (\sin x - \cos x)+1=\frac{1}{\cos x}(\sin x -\cos x)+1=(\frac{\sin x }{\cos x}-1)+1=\tan x$$
Precalculus (6th Edition) Blitzer
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13446-914-3
ISBN 13:
978-0-13446-914-0
Chapter 5 - Section 5.1 - Verifying Trigonometric Identities - Exercise Set - Page 660: 79
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