[{"question":"Rie\u0161te rovnicu: 2*[(sin) 2<\/SUP> ](x)+2*sin(x)-\u221a3*sin(x) = \u221a3","answers":["x = 60\u00b0 + k*360\u00b0, x = 120\u00b0 + k*360\u00b0, x = 270\u00b0 + k*360\u00b0","x = k*360\u00b0, x = 120\u00b0 + k*360\u00b0, x = 270\u00b0 + k*360\u00b0","x = 60\u00b0 + k*360\u00b0, x = 120\u00b0 + k*360\u00b0, x = 270\u00b0 + k*60\u00b0","x = 60\u00b0 + k*120\u00b0, x = 120\u00b0 + k*360\u00b0, x = 270\u00b0 + k*360\u00b0"],"correct":"x = 60\u00b0 + k*360\u00b0, x = 120\u00b0 + k*360\u00b0, x = 270\u00b0 + k*360\u00b0","order":"1"},{"question":"Rie\u0161te rovnicu: sin (2x) = sin (x)","answers":["x = 120\u00b0 + k*120\u00b0, x = k*360\u00b0","x = k*120\u00b0, x = k*360\u00b0","x = 60\u00b0 + k*120\u00b0, x = k*360\u00b0","x = 60\u00b0 + k*120\u00b0, x = 60\u00b0+ k*360\u00b0"],"correct":"x = 60\u00b0 + k*120\u00b0, x = k*360\u00b0","order":"2"},{"question":"Rie\u0161te rovnicu: sin (x) + sin (2x) = sin (3x)","answers":["x = k*180\u00b0, x = 120\u00b0 + k*360\u00b0, x = 360\u00b0 + k*360\u00b0","x = k*180\u00b0, x = 120\u00b0 + k*360\u00b0, x = 240\u00b0 + k*360\u00b0","x = k*180\u00b0, x = k*360\u00b0, x = 240\u00b0 + k*360\u00b0","x = 60\u00b0 + k*180\u00b0, x = 120\u00b0 + k*360\u00b0, x = 240\u00b0 + k*360\u00b0"],"correct":"x = k*180\u00b0, x = 120\u00b0 + k*360\u00b0, x = 240\u00b0 + k*360\u00b0","order":"3"},{"question":"Rie\u0161te rovnicu: sin (x) + cos (x) \u2013 tg(x\/2)= 1","answers":["x = k*360\u00b0, x = 50\u00b0 + k*180\u00b0","x = k*360\u00b0, x = 45\u00b0 + k*180\u00b0","x = k*360\u00b0, x = 55\u00b0 + k*180\u00b0","x = k*360\u00b0, x = 90\u00b0 + k*180\u00b0"],"correct":"x = k*360\u00b0, x = 45\u00b0 + k*180\u00b0","order":"4"},{"question":"Rie\u0161te rovnicu: sin(x + 50\u00b0) = 3*sin(x-20\u00b0)","answers":["x = 39\u00b028' + k*180\u00b0","x = 49\u00b028' + k*180\u00b0","x = 59\u00b028' + k*180\u00b0","x = 69\u00b028' + k*180\u00b0"],"correct":"x = 39\u00b028' + k*180\u00b0","order":"5"},{"question":"Rie\u0161te rovnicu: sin(3x) \u2013 cos(x) = 0","answers":["x = (\u03c0\/8)*(4k + 1), x = (\u03c0\/4)*(4k + 1)","x = (\u03c0\/8)*(5k + 1), x = (\u03c0\/4)*(5k + 1)","x = (\u03c0\/8)*(6k + 1), x = (\u03c0\/4)*(6k + 1)","x = (\u03c0\/8)*(k + 1), x = (\u03c0\/4)*(k + 1)"],"correct":"x = (\u03c0\/8)*(4k + 1), x = (\u03c0\/4)*(4k + 1)","order":"6"},{"question":"Rie\u0161te rovnicu: sin(4x) \u2013 sin(2x) = sin(x)","answers":["\u00b1x = 360\u00b0+ k*120\u00b0, x = k*180\u00b0","\u00b1 x = 120\u00b0+ k*120\u00b0, x = k*180\u00b0","\u00b1x = 60\u00b0+ k*120\u00b0, x = k*180\u00b0","\u00b1 x = 20\u00b0+ k*120\u00b0, x = k*180\u00b0"],"correct":"\u00b1 x = 20\u00b0+ k*120\u00b0, x = k*180\u00b0","order":"7"},{"question":"Rie\u0161te rovnicu: tg(x) + cotg(x) = 2*sin(2x)","answers":["x = \u03c0*(1 + 4k), x = \u03c0*(3 + 4k)","x = (\u03c0\/2)*(1 + 4k), x = (\u03c0\/2)*(3 + 4k)","x = (\u03c0\/3)*(1 + 4k), x = (\u03c0\/3)*(3 + 4k)","x = (\u03c0\/4)*(1 + 4k), x = (\u03c0\/4)*(3 + 4k)"],"correct":"x = (\u03c0\/4)*(1 + 4k), x = (\u03c0\/4)*(3 + 4k)","order":"8"},{"question":"Rie\u0161te rovnicu: sin(x) + sin(2x) + sin(3x) + sin(4x) = 0","answers":["x = (\u03c0\/4)*k*\u03c0, x = (2*k*\u03c0)\/5","x = (\u03c0\/2)*k*\u03c0, x = (3*k*\u03c0)\/5","x = (\u03c0\/2)*k*\u03c0 ,x = (2*k*\u03c0)\/5","x = \u03c0*k*\u03c0, x = (2*k*\u03c0)\/5"],"correct":"x = (\u03c0\/2)*k*\u03c0 ,x = (2*k*\u03c0)\/5","order":"9"},{"question":"Rie\u0161te rovnicu: [(sin 2<\/SUP> )(x)] \u2013 [(cos 2<\/SUP> )(x)] + sin(x) = 0","answers":["x = \u03c0*(1+12k), x = \u03c0*(5+12k), x = \u03c0*(3+4k)","x = (\u03c0\/6)*(1+12k), x = (\u03c0\/6)*(5+12k), x = (\u03c0\/2)*(3+4k)","x = (\u03c0\/6)*(1+12k), x = (\u03c0\/6)*(5+12k), x = (\u03c0\/6)*(3+4k)","x = (\u03c0\/2)*(1+12k), x = (\u03c0\/2)*(5+12k), x = (\u03c0\/2)*(3+4k)"],"correct":"x = (\u03c0\/6)*(1+12k), x = (\u03c0\/6)*(5+12k), x = (\u03c0\/2)*(3+4k)","order":"10"}]