Koliko iznosi zbroj svih realnih brojeva
![x \in \left[ 1 , 2021 \right]](/media/m/7/c/8/7c84d69ffe44e4b457239f41fd061bff.png)
za koje vrijedi
Find the sum of all real numbers
that satisfy
[lang=hr]
Koliko iznosi zbroj svih realnih brojeva $x \in \left[ 1 , 2021 \right]$ za koje vrijedi
\[ \left( \sin \pi x \right) ^7 + \frac{1}{\left( \sin \pi x \right) ^ 3} = \left( \cos \pi x \right) ^7 + \frac{1}{\left( \cos \pi x \right) ^ 3}?\]
[/lang]
[lang=en]
Find the sum of all real numbers $x \in \left[ 1 , 2021 \right]$ that satisfy
\[ \left( \sin \pi x \right) ^7 + \frac{1}{\left( \sin \pi x \right) ^ 3} = \left( \cos \pi x \right) ^7 + \frac{1}{\left( \cos \pi x \right) ^ 3}\]
[/lang]
