Precalculus Examples

$\tan (arccot (u))$

Step 1

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

$\frac{1}{u}$