Algebra Examples

$\csc (\arctan (- \frac{5}{12}))$

Step 1

Draw a triangle in the plane with vertices $(1, - \frac{5}{12})$ , $(1, 0)$ , and the origin. Then $\arctan (- \frac{5}{12})$ is the angle between the positive x-axis and the ray beginning at the origin and passing through $(1, - \frac{5}{12})$ . Therefore, $\csc (\arctan (- \frac{5}{12}))$ is $- \frac{13}{5}$ .

$- \frac{13}{5}$

Step 2

The result can be shown in multiple forms.

Exact Form:

$- \frac{13}{5}$

Decimal Form:

$- 2.6$

Mixed Number Form:

$- 2 \frac{3}{5}$