Precalculus Examples

$\cot (\arctan (- 1))$

Step 1

Draw a triangle in the plane with vertices $(1, - 1)$ , $(1, 0)$ , and the origin. Then $\arctan (- 1)$ is the angle between the positive x-axis and the ray beginning at the origin and passing through $(1, - 1)$ . Therefore, $\cot (\arctan (- 1))$ is $- 1$ .

$- 1$