Trigonometry Examples

$\cot (\arcsin (- 1))$

Step 1

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

$0$