Answer
1
Work Step by Step
cot($\frac{\pi}{4}$ + $\pi$) = cot$\frac{\pi}{4}$
cot t=$\frac{1}{tan t}$
cot$\frac{\pi}{4}$ = $\frac{1}{tan \frac{\pi}{4}}$
cot$\frac{\pi}{4}$ =$\frac{1}{1}$ = 1
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