Precalculus Examples

$\tan (\arcsin (0.75))$

Step 1

Draw a triangle in the plane with vertices $(\sqrt{1^{2} - {0.75}^{2}}, 0.75)$ , $(\sqrt{1^{2} - {0.75}^{2}}, 0)$ , and the origin. Then $\arcsin (0.75)$ is the angle between the positive x-axis and the ray beginning at the origin and passing through $(\sqrt{1^{2} - {0.75}^{2}}, 0.75)$ . Therefore, $\tan (\arcsin (0.75))$ is $1.13389341$ .

$1.13389341$