Can anybody help me and explain how to calculate it?

asked Nov 6, 2021 15.7k views

2 votes

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3 votes

Answer:

$(\pi )/(4)$

Explanation:

1. note, that

$arcsin(1)/(2)=(\pi)/(6);arcsin(√(2))/(2)=(\pi)/(4);arcsin1=(\pi )/(2);arcsin(√(3))/(2)=(\pi)/(3)$

2. after the substitution:

$(\pi)/(6)+(\pi )/(4)- (\pi )/(2) + (\pi )/(3)=(\pi )/(4).$

Rudimenter answered Nov 11, 2021

5.3k points

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