Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 4 - Section 4.6 - Graphs of Other Trigonometric Functions - Exercise Set - Page 609: 3

Answer

$ y= -\tan (x-\dfrac{\pi}{2})$

Work Step by Step

The required graph is $ y= -\tan (x-\dfrac{\pi}{2})$ The graph shows a horizontal shift of $ y =\tan x $ by $\dfrac{\pi}{2}$ units to the right. It is also reflected upside-down because of the negative sign in front of the function (amplitude $-1$).
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