Precalculus Examples

$\cos (arccsc (1.3))$

Step 1

Draw a triangle in the plane with vertices $(\sqrt{{1.3}^{2} - 1^{2}}, 1)$ , $(\sqrt{{1.3}^{2} - 1^{2}}, 0)$ , and the origin. Then $arccsc (1.3)$ is the angle between the positive x-axis and the ray beginning at the origin and passing through $(\sqrt{{1.3}^{2} - 1^{2}}, 1)$ . Therefore, $\cos (arccsc (1.3))$ is $0.63897106$ .

$0.63897106$