Find the Exact Value arccot(cot((5pi)/4))

$arccot (\cot (\frac{5 π}{4}))$

Step 1

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.

$arccot (\cot (\frac{π}{4}))$

Step 2

The exact value of $\cot (\frac{π}{4})$ is $1$ .

$arccot (1)$

Step 3

The exact value of $arccot (1)$ is $\frac{π}{4}$ .

$\frac{π}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{π}{4}$

Decimal Form:

$0.78539816 \dots$