Find the Exact Value cot(-405 degrees )

$\cot (- 405 °)$

Step 1

Add full rotations of $360$ ° until the angle is between $0$ ° and $360$ °.

$\cot (315)$

Step 2

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.

$- \cot (45)$

Step 3

The exact value of $\cot (45)$ is $1$ .

$- 1 \cdot 1$

Step 4

Multiply $- 1$ by $1$ .

$- 1$

Find the Exact Value cot(-405 degrees )

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