[{"question":"M\u00e1me pravouhl\u00fd trojuholn\u00edk ABC, kde a,b s\u00fa odvesny a c je prepona. (strana a je proti\u013eahl\u00e1 odvesna uhlu alfa, strana b je pri\u013eahl\u00e1 odvesna). Vyberte spr\u00e1vny vz\u0165ah pre v\u00fdpo\u010det s\u00ednusu uhla alfa","answers":["sin alfa = a\/c","sin alfa = c\/a","sin alfa = b\/c","sin alfa = c\/b"],"correct":"sin alfa = a\/c","order":"1"},{"question":"\u010comu sa rovn\u00e1 kos\u00ednus alfy z predch\u00e1dzaj\u00faceho pr\u00edkladu?","answers":["cos alfa = a\/c","cos alfa = c\/a","cos alfa = b\/c","cos alfa = c\/b"],"correct":"cos alfa = b\/c","order":"2"},{"question":"\u010comu sa rovn\u00e1 tangens alfy z predch\u00e1dzaj\u00faceho pr\u00edkladu?","answers":["tg alfa = a\/c","tg alfa = c\/a","tg alfa = a\/b","tg alfa = b\/a"],"correct":"tg alfa = a\/b","order":"3"},{"question":"\u010comu sa rovn\u00e1 kotangens alfy z predch\u00e1dzaj\u00faceho pr\u00edkladu?","answers":["cotg alfa = a\/b","cotg alfa = a\/c","cotg alfa = b\/c","cotg alfa = 1\/tg alfa"],"correct":"cotg alfa = 1\/tg alfa","order":"4"},{"question":"\u010co by platilo ak by sme v pr\u00edklade 1 chceli vypo\u010d\u00edta\u0165 sinus uhla beta?","answers":["sin beta = a\/c","sin beta = c\/a","sin beta = b\/c","sin beta = c\/b"],"correct":"sin beta = b\/c","order":"5"},{"question":"\u010comu sa rovn\u00e1 kos\u00ednus bety?","answers":["cos beta = a\/c","cos beta = c\/a","cos beta = b\/c","cos beta = c\/b"],"correct":"cos beta = a\/c","order":"6"},{"question":"\u010comu sa rovn\u00e1 tangens bety?","answers":["tg beta = a\/c","tg betaa = c\/a","tg beta = a\/b","tg beta = b\/a"],"correct":"tg beta = b\/a","order":"7"},{"question":"\u010comu sa rovn\u00e1 kotangens bety?","answers":["cotg beta = a\/b","cotg betaa = a\/c","cotg beta = b\/c","cotg beta = b\/a"],"correct":"cotg beta = a\/b","order":"8"},{"question":"Ktor\u00fd vz\u0165ah je spr\u00e1vny, ak chceme pomocou goniometrick\u00fdch funkci\u00ed vypo\u010d\u00edta\u0165 obsah pravouhl\u00e9ho trojuholn\u00edka. Pozn\u00e1te preponu, uhly alfa a v beta.","answers":["S = [sin alfa]*c*c\/4","S = [sin (2*alfa)]*c*c","S = [sin (2*alfa)]*c\/4","S = [sin (2*alfa)]*c*c\/4"],"correct":"S = [sin (2*alfa)]*c*c\/4","order":"9"},{"question":"V pravouhlom trojuholn\u00edku pozn\u00e1te stranu c a uhol alfa. Ako vypo\u010d\u00edtate v\u00fd\u0161ku?","answers":["v = [sin (2*alfa)]*c\/2","v = [sin (2*alfa)]*c*c\/2","v = [sin (2*alfa)]*c","v = [sin (2*alfa)]*c*c"],"correct":"v = [sin (2*alfa)]*c\/2","order":"10"}]