Find the Value Using the Unit Circle cot(225)

$\cot (225)$

Step 1

Find the value using the definition of cotangent.

$\cot (225) = \frac{adjacent}{opposite}$

Step 2

Substitute the values into the definition.

$\cot (225) = \frac{- \frac{\sqrt{2}}{2}}{- \frac{\sqrt{2}}{2}}$

Step 3

Simplify the result.

Dividing two negative values results in a positive value.

$\frac{\frac{\sqrt{2}}{2}}{\frac{\sqrt{2}}{2}}$

Cancel the common factor of $\frac{\sqrt{2}}{2}$ .

Cancel the common factor.

$\frac{\frac{\sqrt{2}}{2}}{\frac{\sqrt{2}}{2}}$

Rewrite the expression.

$1$

Step 4