Goniometrické rovnice a nerovnice - teória
[{"question":"Dopl\u0148 vz\u0165ahy pre periodickos\u0165 funkci\u00ed :cos x =","answers":["cos (x + 2k\u03c0)","cos (x - 2k\u03c0)","cos (x * 2k\u03c0)","cos (x \/ 2k\u03c0)"],"correct":"cos (x + 2k\u03c0)","order":"1"},{"question":"tg x =","answers":["tg(x - k\u03c0)","tg(x + k\u03c0)","tg(x + k\/\u03c0)","tg(x * k\u03c0)"],"correct":"tg(x + k\u03c0)","order":"2"},{"question":"Dopl\u0148 vz\u0165ah pre p\u00e1rnos\u0165 funkci\u00ed: cot g (-x) =","answers":["cotg(x + k\u03c0)","-cos g(x)","-cot g(x)","cot g(x)"],"correct":"-cot g(x)","order":"3"},{"question":"Dopl\u0148 vz\u0165ah pre p\u00e1rnos\u0165 funkci\u00ed cos (-x) =","answers":["cos x","(-) cos x","cos x + k\u03c0","cos\u00b2 x"],"correct":"cos x","order":"4"},{"question":"Dopl\u0148: sin 2x =","answers":["2sin x + cos x","2sin x \/ cos x","2sin x - cos x","2sin x * cos x"],"correct":"2sin x * cos x","order":"5"},{"question":"Dopl\u0148: cos 2x =","answers":["cos2 x \u2013 sin2 x","cos\u00b2 x \u2013 sin\u00b2 x","cos2 x * sin2 x","cos\u00b2 x * sin\u00b2 x"],"correct":"cos\u00b2 x \u2013 sin\u00b2 x","order":"6"},{"question":"sin(x + y) =","answers":["sin x * cos y - cos x * sin y","sin x * cos y * cos x * sin y","sin x * cos y + cos x * sin y","sin x \/ cos y + cos x \/ sin y"],"correct":"sin x * cos y + cos x * sin y","order":"7"},{"question":"cos(x \u2013 y) =","answers":["cos\u00b2 x * cos y + sin\u00b2 x * sin y","cos x * cos\u00b2 y + sin x * sin\u00b2 y","cos\u00b2 x * cos\u00b2 y + sin\u00b2 x * sin\u00b2 y","cos x * cos y + sin x * sin y"],"correct":"cos x * cos y + sin x * sin y","order":"8"},{"question":"Dopl\u0148 vz\u0165ah pre s\u00fa\u010det funkci\u00ed: sinx + siny =","answers":["2sin((x+y)\/2)*cos((x-y)\/2)","2sin(x+y\/2)*cos(x-y\/2)","2sin((x+y)\/2) + cos((x-y)\/2)","2sin((x-y)\/2)*cos((x+y)\/2)"],"correct":"2sin((x+y)\/2)*cos((x-y)\/2)","order":"9"},{"question":"Dopl\u0148 vz\u0165ah pre rozdiel funkci\u00ed: sinx - siny =","answers":["2cos((x+y)\/2 - sin((x-y)\/2)","2cos((x+y)\/2 * sin((x-y)\/2)","2cos((x+y)\/2 + sin((x-y)\/2)","2cos(x+y\/2 * sin(x-y\/2)"],"correct":"2cos((x+y)\/2 * sin((x-y)\/2)","order":"10"}]