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By using a trigonometric table, we will see that:

cotangent(3pi/4) = -1

How to find the value of the cotangent?

We want to find:

cotangent(3pi/4)

This is equal to:

[tex]\frac{cos(3pi/4)}{sin(3pi/4)}[/tex]

We can use a table to evaluate these two, we know that:

cos(3pi/4) = -√2/2

sin(3pi/4) = √2/2

Then:

[tex]\frac{cos(3pi/4)}{sin(3pi/4)} = \frac{-\sqrt{2}*2 }{\sqrt{2}*2 } = -1[/tex]

If you want to learn about trigonometric functions:

https://brainly.com/question/8120556

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