Marinada '22

[lang=hr] Na porti je također kaos. Portir Šemso ne zna koliko iznosi $a + b$ ako su $a$ i $b$ relativno prosti prirodni brojevi takvi da je $\frac{a}{b} < 90$ i $\sum\limits_{n=1}^{35} \sin 5n = $ tg $ \frac{a}{b}$. Kuteve mjerimo u stupnjevima. [/lang] [lang=en] There is also chaos at the reception. Šemso the receptionist cannot find the value of $a + b$ if $a$ and $b$ are relatively prime positive integers such that $\frac{a}{b} < 90$ and $\sum\limits_{n=1}^{35} \sin 5n = $ tg $ \frac{a}{b}$. Angles are measured in degrees. [/lang]