Chapter 6 - Inverse Circular Functions and Trigonometric Equations - Section 6.4 Equations Involving Inverse Trigonometric Functions - 6.4 Exercises - Page 280: 44

We can see that the x-coordinate of the point of intersection is $0.866$

$y_1 = arcsin~x - arccos~x$ $y_2 = \frac{\pi}{6}$ The red graph is $~~y_1 = arcsin~x - arccos~x$ The blue graph is $~~y_2 = \frac{\pi}{6}$ We can see that the x-coordinate of the point of intersection is $0.866$