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What is the exact value of cot (3pi/4) ?

Answer:
[tex]cot(\frac{3\pi}{4})=-1[/tex]
Step-by-step explanation:
we know that
[tex]\pi\ radians=180\ degrees[/tex]
so
[tex]\frac{3\pi}{4}\ radians=135\ degrees[/tex]
The angle belong to the II quadrant ----> the function cotangent is negative
[tex]cot(\frac{3\pi}{4})=cot(135\°)=-cot(45\°)[/tex]
Remember that
[tex]cot(45\°)=1[/tex]
therefore
[tex]cot(\frac{3\pi}{4})=-1[/tex]