Find the Exact Value cot((7pi)/4)

$\cot (\frac{7 π}{4})$

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cotangent is negative in the fourth quadrant.

$- \cot (\frac{π}{4})$

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

$- 1 \cdot 1$

Multiply $- 1$ by $1$ .

$- 1$

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