Trigonometry Examples

$\csc (\arctan (- \frac{56}{33}))$

Step 1

Draw a triangle in the plane with vertices $(1, - \frac{56}{33})$ , $(1, 0)$ , and the origin. Then $\arctan (- \frac{56}{33})$ is the angle between the positive x-axis and the ray beginning at the origin and passing through $(1, - \frac{56}{33})$ . Therefore, $\csc (\arctan (- \frac{56}{33}))$ is $- \frac{65}{56}$ .

$- \frac{65}{56}$

Step 2

The result can be shown in multiple forms.

Exact Form:

$- \frac{65}{56}$

Decimal Form:

$- 1.16071428 \dots$

Mixed Number Form:

$- 1 \frac{9}{56}$