[{"question":"Rie\u0161 v R a vyber rie\u0161enie: cotg x = -\u221a3\/3","answers":["{2\/3 \u03c0 + k\u03c0}","{3\/2 \u03c0 + k\u03c0}","{3\/3 \u03c0 + k\u03c0}","{2\/3 \u03c0 + k\/\u03c0}"],"correct":"{2\/3 \u03c0 + k\u03c0}","order":"1"},{"question":"Rie\u0161 rovnicu sin x = -\u221a3\/2 v R a vyber rie\u0161enie:","answers":["{3\/4\u03c0 + 2k\u03c0, 3\/5\u03c0 + 2k\u03c0}","{4\/3\u03c0 + 2k\u03c0, 5\/3\u03c0 + 2k\u03c0}","{4\/3\u03c0 + 2k\u03c0, 3\/5\u03c0 + 2k\u03c0}","{3\/4\u03c0 + 2k\u03c0, 5\/3\u03c0 + 2k\u03c0}"],"correct":"{4\/3\u03c0 + 2k\u03c0, 5\/3\u03c0 + 2k\u03c0}","order":"2"},{"question":"Z\u00e1kladn\u00fdm rie\u0161en\u00edm rovnice cosx = -0,5 je","answers":["2\/3\u03c0 a 4\/3\u03c0","4\/3\u03c0 a 4\/3\u03c0","3\/2\u03c0 a 4\/3\u03c0","2\/3\u03c0 a 3\/4\u03c0"],"correct":"2\/3\u03c0 a 4\/3\u03c0","order":"3"},{"question":"Vyrie\u0161 rovnicu v R sin x = 0:","answers":["x\u2081 = 0 + k2\/\u03c0, x\u2082 = \u03c0 + k2\/\u03c0","x\u2081 = 0 + k\/2\u03c0, x\u2082 = \u03c0 + k\/2\u03c0","x\u2081 = 0 - k2\u03c0, x\u2082 = \u03c0 - k2\u03c0","x\u2081 = 0 + k2\u03c0, x\u2082 = \u03c0 + k2\u03c0"],"correct":"x\u2081 = 0 + k2\u03c0, x\u2082 = \u03c0 + k2\u03c0","order":"4"},{"question":"Z\u00e1kladn\u00fdm rie\u0161en\u00edm rovnice tgx = -\u221a3 je","answers":["7\/4\u03c0","1\/3\u03c0","3\/2\u03c0","2\/3\u03c0"],"correct":"2\/3\u03c0","order":"5"},{"question":"Z\u00e1kladn\u00fdm rie\u0161en\u00edm rovnice \u221a3 tg\u00b2x + 2tgx - \u221a3 = 0 je","answers":["\u03c0\/8, 2\/3\u03c0","\u03c0\/6, 2\/3\u03c0","\u03c0\/6, 3\/2\u03c0","5\u03c0\/6, 2\/3\u03c0"],"correct":"\u03c0\/6, 2\/3\u03c0","order":"6"},{"question":"Rie\u0161en\u00edm nerovnice sinx > -\u221a3\/2 je ka\u017ed\u00fd interval","answers":["<-1\/3\u03c0 + k2\u03c0, 4\/3\u03c0 + k2\u03c0>","<1\/3\u03c0 + k2\u03c0, 4\/3\u03c0 + k2\u03c0>","<-1\/3\u03c0 - k2\u03c0, 4\/3\u03c0 + k2\u03c0>","<-1\/3\u03c0 + k2\u03c0, 3\/4\u03c0 + k2\u03c0>"],"correct":"<-1\/3\u03c0 + k2\u03c0, 4\/3\u03c0 + k2\u03c0>","order":"7"},{"question":"Rie\u0161en\u00edm nerovnice cos x \u2264 -\u221a3\/2 s\u00fa v\u0161etky \u010d\u00edsla v intervale","answers":["<7\/6\u03c0, 8\/6\u03c0>","<5\/6\u03c0, 6\/7\u03c0>","<5\/6\u03c0, 7\/6\u03c0>","<6\/5\u03c0, 7\/6\u03c0>"],"correct":"<5\/6\u03c0, 7\/6\u03c0>","order":"8"},{"question":"Ur\u010d korene rovnice sinx = -\u221a3\/2","answers":["x\u2081 = 3\/4\u03c0 + k2\u03c0, x\u2082 = 3\/5\u03c0 + k2\u03c0","x\u2081 = 3\/4\u03c0 + k\/2\u03c0, x\u2082 = 3\/5\u03c0 + k2\/\u03c0","x\u2081 = 4\/3\u03c0 + k2\u03c0, x\u2082 = 5\/3\u03c0 + k2\u03c0","x\u2081 = 3\/4\u03c0 - k2\u03c0, x\u2082 = 3\/5\u03c0 - k2\u03c0"],"correct":"x\u2081 = 4\/3\u03c0 + k2\u03c0, x\u2082 = 5\/3\u03c0 + k2\u03c0","order":"9"},{"question":"Z\u00e1kladn\u00fdm rie\u0161en\u00edm rovnice 4sin\u00b2x - sin\u00b22x = 1 je","answers":["\u03c0\/3","3\/\u03c0","\u03c0\/4","4\/\u03c0"],"correct":"\u03c0\/4","order":"10"}]