In Example 8(a), change 0.5 to 1.

Data from Example 8(a)

Find cos(sin⁻¹ 0.5).
Knowing that the values of inverse trigonometric functions are angles, we see that sin⁻¹ 0.5 is a first-quadrant angle. Thus, we find sin⁻¹ 0.5 = π/6. The problem is now to find cos(π/6). This is, of course, √3/2, or 0.8660. Thus, cos(sin⁻¹ 0.5) = cos(π/6) = 0.8660