Question

Can anybody help me and explain how to calculate it?​

Answer 1

Answer:

$\frac{\pi }{4}$

Step-by-step explanation:

1. note, that

$arcsin\frac{1}{2}=\frac{\pi}{6};arcsin\frac{\sqrt{2}}{2}=\frac{\pi}{4};arcsin1=\frac{\pi }{2};arcsin\frac{\sqrt{3}}{2}=\frac{\pi}{3}$

2. after the substitution:

$\frac{\pi}{6}+\frac{\pi }{4}- \frac{\pi }{2} + \frac{\pi }{3}=\frac{\pi }{4}.$