Answer
$y=cot(x+\frac{\pi}{2})$.
Work Step by Step
The function $y=cot(x+\frac{\pi}{2})$ shifts the original $y=cot(x)$ to the left by $\frac{\pi}{2}$ and gives the graph in this case. Thus the answer is $y=cot(x+\frac{\pi}{2})$.
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 4 - Section 4.6 - Graphs of Other Trigonometric Functions - Exercise Set - Page 609: 15
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