Answer:
1
Step-by-step explanation:
[tex] \cot( \alpha ) = \frac{1}{ \tan( \alpha ) } [/tex]
[tex] \alpha_{lll} = \frac{5\pi}{4} - \pi \\ \\ \alpha_{lll} = \frac{\pi}{4} [/tex]
[tex] \cot( \frac{\pi}{4} ) = \frac{1}{ \tan( \frac{\pi}{4} ) } \\ \cot( \frac{\pi}{4} ) = \frac{1}{ 1} = 1[/tex]
