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 $y=cot(x+\frac{\pi}{2})$.
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