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Таблица основных тригонометрических функций с радианами

Тренажер поможет легко и быстро запомнить значения синуса, косинуса, тангенса для всех ключевых углов, выраженных в радианах.

{"buttons":[],"questions":[{"text":"$\\sin 0$","answer":1,"explanation":"$0$","buttons":["$1$","$0$","$-1$"]},{"text":"$\\sin \\pi/6$","answer":0,"explanation":"$1/2$","buttons":["$1/2$","$\\sqrt{3}/2$","$1$"]},{"text":"$\\sin \\pi/4$","answer":2,"explanation":"$\\sqrt{2}/2$","buttons":["$1/2$","$1$","$\\sqrt{2}/2$"]},{"text":"$\\sin \\pi/3$","answer":1,"explanation":"$\\sqrt{3}/2$","buttons":["$1/2$","$\\sqrt{3}/2$","$\\sqrt{2}/2$"]},{"text":"$\\sin \\pi/2$","answer":0,"explanation":"$1$","buttons":["$1$","$0$","$-1$"]},{"text":"$\\sin 2\\pi/3$","answer":1,"explanation":"$\\sqrt{3}/2$","buttons":["$1/2$","$\\sqrt{3}/2","$\\sqrt{2}/2$"]},{"text":"$\\sin 3\\pi/4$","answer":2,"explanation":"$\\sqrt{2}/2$","buttons":["$1/2$","$-\\sqrt{2}/2$","$\\sqrt{2}/2$"]},{"text":"$\\sin 5\\pi/6$","answer":0,"explanation":"$1/2$","buttons":["$1/2$","$\\sqrt{3}/2$","$-1/2$"]},{"text":"$\\sin \\pi$","answer":1,"explanation":"$0$","buttons":["$1$","$0$","$-1$"]},{"text":"$\\sin 7\\pi/6$","answer":0,"explanation":"$-1/2$","buttons":["$-1/2$","$-\\sqrt{3}/2$","$-\\sqrt{2}/2$"]},{"text":"$\\sin 5\\pi/4$","answer":2,"explanation":"$-\\sqrt{2}/2$","buttons":["$-1/2$","$\\sqrt{2}/2$","$-\\sqrt{2}/2$"]},{"text":"$\\sin 4\\pi/3$","answer":1,"explanation":"$-\\sqrt{3}/2$","buttons":["$-1/2$","$-\\sqrt{3}/2$","$-\\sqrt{2}/2$"]},{"text":"$\\sin 3\\pi/2$","answer":0,"explanation":"$-1$","buttons":["$-1$","$0$","$1$"]},{"text":"$\\sin 5\\pi/3$","answer":1,"explanation":"$-\\sqrt{3}/2$","buttons":["$-1/2$","$-\\sqrt{3}/2$","$\\sqrt{3}/2$"]},{"text":"$\\sin 7\\pi/4$","answer":2,"explanation":"$-\\sqrt{2}/2$","buttons":["$-1/2$","$\\sqrt{2}/2$","$-\\sqrt{2}/2$"]},{"text":"$\\sin 11\\pi/6$","answer":0,"explanation":"$-1/2$","buttons":["$-1/2$","$-\\sqrt{3}/2$","$1/2$"]},{"text":"$\\sin 2\\pi$","answer":1,"explanation":"$0$","buttons":["$1$","$0$","$-1$"]},{"text":"$\\cos 0$","answer":0,"explanation":"$1$","buttons":["$1$","$0$","$-1$"]},{"text":"$\\cos \\pi/6$","answer":2,"explanation":"$\\sqrt{3}/2$","buttons":["$1/2$","$1$","$\\sqrt{3}/2$"]},{"text":"$\\cos \\pi/4$","answer":1,"explanation":"$\\sqrt{2}/2$","buttons":["$1/2$","$\\sqrt{2}/2$","$\\sqrt{3}/2$"]},{"text":"$\\cos \\pi/3$","answer":0,"explanation":"$1/2$","buttons":["$1/2$","$\\sqrt{2}/2$","$\\sqrt{3}/2$"]},{"text":"$\\cos \\pi/2$","answer":1,"explanation":"$0$","buttons":["$1$","$0$","$-1$"]},{"text":"$\\cos 2\\pi/3$","answer":0,"explanation":"$-1/2$","buttons":["$-1/2$","$-\\sqrt{2}/2$","$-\\sqrt{3}/2$"]},{"text":"$\\cos 3\\pi/4$","answer":2,"explanation":"$-\\sqrt{2}/2$","buttons":["$-1/2$","$\\sqrt{2}/2$","$-\\sqrt{2}/2$"]},{"text":"$\\cos 5\\pi/6$","answer":1,"explanation":"$-\\sqrt{3}/2$","buttons":["$-1/2$","$-\\sqrt{3}/2$","$-\\sqrt{2}/2$"]},{"text":"$\\cos \\pi$","answer":0,"explanation":"$-1$","buttons":["$-1$","$0$","$1$"]},{"text":"$\\cos 7\\pi/6$","answer":1,"explanation":"$-\\sqrt{3}/2$","buttons":["$-1/2$","$-\\sqrt{3}/2$","$\\sqrt{3}/2$"]},{"text":"$\\cos 5\\pi/4$","answer":2,"explanation":"$-\\sqrt{2}/2$","buttons":["$-1/2$","$\\sqrt{2}/2$","$-\\sqrt{2}/2$"]},{"text":"$\\cos 4\\pi/3$","answer":0,"explanation":"$-1/2$","buttons":["$-1/2$","$-\\sqrt{3}/2$","$-\\sqrt{2}/2$"]},{"text":"$\\cos 3\\pi/2$","answer":1,"explanation":"$0$","buttons":["$1$","$0$","$-1$"]},{"text":"$\\cos 5\\pi/3$","answer":0,"explanation":"$1/2$","buttons":["$1/2$","$\\sqrt{2}/2$","$\\sqrt{3}/2$"]},{"text":"$\\cos 7\\pi/4$","answer":1,"explanation":"$\\sqrt{2}/2$","buttons":["$1/2$","$\\sqrt{2}/2$","$\\sqrt{3}/2$"]},{"text":"$\\cos 11\\pi/6$","answer":1,"explanation":"$\\sqrt{3}/2$","buttons":["$1/2$","$\\sqrt{3}/2$","$\\sqrt{2}/2$"]},{"text":"$\\cos 2\\pi$","answer":0,"explanation":"$1$","buttons":["$1$","$0$","$-1$"]},{"text":"$\\tg 0$","answer":1,"explanation":"$0$","buttons":["$1$","$0$","не определён"]},{"text":"$\\tg \\pi/6$","answer":2,"explanation":"$1/\\sqrt{3}$","buttons":["$\\sqrt{3}$","$1$","$1/\\sqrt{3}$"]},{"text":"$\\tg \\pi/4$","answer":0,"explanation":"$1$","buttons":["$1$","$0$","$\\sqrt{3}$"]},{"text":"$\\tg \\pi/3$","answer":2,"explanation":"$\\sqrt{3}$","buttons":["$1$","$1/\\sqrt{3}$","$\\sqrt{3}$"]},{"text":"$\\tg \\pi/2$","answer":2,"explanation":"не определён","buttons":["$0$","$1$","не определён"]},{"text":"$\\tg 2\\pi/3$","answer":1,"explanation":"$-\\sqrt{3}$","buttons":["$\\sqrt{3}$","$-\\sqrt{3}$","$-1/\\sqrt{3}$"]},{"text":"$\\tg 3\\pi/4$","answer":0,"explanation":"$-1$","buttons":["$-1$","$1$","$-\\sqrt{3}$"]},{"text":"$\\tg 5\\pi/6$","answer":2,"explanation":"$-1/\\sqrt{3}$","buttons":["$-1$","$-\\sqrt{3}$","$-1/\\sqrt{3}$"]},{"text":"$\\tg \\pi$","answer":1,"explanation":"$0$","buttons":["$1$","$0$","$-1$"]},{"text":"$\\tg 7\\pi/6$","answer":2,"explanation":"$1/\\sqrt{3}$","buttons":["$1$","$\\sqrt{3}$","$1/\\sqrt{3}$"]},{"text":"$\\tg 5\\pi/4$","answer":0,"explanation":"$1$","buttons":["$1$","$-1$","$\\sqrt{3}$"]},{"text":"$\\tg 4\\pi/3$","answer":1,"explanation":"$\\sqrt{3}$","buttons":["$1/\\sqrt{3}$","$\\sqrt{3}$","$1$"]},{"text":"$\\tg 3\\pi/2$","answer":2,"explanation":"не определён","buttons":["$0$","$1$","не определён"]},{"text":"$\\tg 5\\pi/3$","answer":1,"explanation":"$-\\sqrt{3}$","buttons":["$-1/\\sqrt{3}$","$-\\sqrt{3}$","$-1$"]},{"text":"$\\tg 7\\pi/4$","answer":0,"explanation":"$-1$","buttons":["$-1$","$1$","$-\\sqrt{3}$"]},{"text":"$\\tg 11\\pi/6$","answer":2,"explanation":"$-1/\\sqrt{3}$","buttons":["$-1$","$-\\sqrt{3}$","$-1/\\sqrt{3}$"]},{"text":"$\\tg 2\\pi$","answer":1,"explanation":"$0$","buttons":["$1$","$0$","$-1$"]},{"text":"$\\ctg 0$","answer":2,"explanation":"не определён","buttons":["$0$","$1$","не определён"]},{"text":"$\\ctg \\pi/6$","answer":2,"explanation":"$\\sqrt{3}$","buttons":["$1$","$1/\\sqrt{3}$","$\\sqrt{3}$"]},{"text":"$\\ctg \\pi/4$","answer":0,"explanation":"$1$","buttons":["$1$","$0$","$\\sqrt{3}$"]},{"text":"$\\ctg \\pi/3$","answer":1,"explanation":"$1/\\sqrt{3}$","buttons":["$\\sqrt{3}$","$1/\\sqrt{3}$","$1$"]},{"text":"$\\ctg \\pi/2$","answer":1,"explanation":"$0$","buttons":["$1$","$0$","не определён"]},{"text":"$\\ctg 2\\pi/3$","answer":2,"explanation":"$-1/\\sqrt{3}$","buttons":["$\\sqrt{3}$","$-\\sqrt{3}$","$-1/\\sqrt{3}$"]},{"text":"$\\ctg 3\\pi/4$","answer":0,"explanation":"$-1$","buttons":["$-1$","$1$","$-\\sqrt{3}$"]},{"text":"$\\ctg 5\\pi/6$","answer":1,"explanation":"$-\\sqrt{3}$","buttons":["$-1/\\sqrt{3}$","$-\\sqrt{3}$","$-1$"]},{"text":"$\\ctg \\pi$","answer":2,"explanation":"не определён","buttons":["$0$","$1$","не определён"]},{"text":"$\\ctg 7\\pi/6$","answer":1,"explanation":"$\\sqrt{3}$","buttons":["$1/\\sqrt{3}$","$\\sqrt{3}$","$1$"]},{"text":"$\\ctg 5\\pi/4$","answer":0,"explanation":"$1$","buttons":["$1$","$-1$","$\\sqrt{3}$"]},{"text":"$\\ctg 4\\pi/3$","answer":2,"explanation":"$1/\\sqrt{3}$","buttons":["$\\sqrt{3}$","$-\\sqrt{3}$","$1/\\sqrt{3}$"]},{"text":"$\\ctg 3\\pi/2$","answer":1,"explanation":"$0$","buttons":["$1$","$0$","не определён"]},{"text":"$\\ctg 5\\pi/3$","answer":2,"explanation":"$-1/\\sqrt{3}$","buttons":["$-\\sqrt{3}$","$\\sqrt{3}$","$-1/\\sqrt{3}$"]},{"text":"$\\ctg 7\\pi/4$","answer":0,"explanation":"$-1$","buttons":["$-1$","$1$","$-\\sqrt{3}$"]},{"text":"$\\ctg 11\\pi/6$","answer":1,"explanation":"$-\\sqrt{3}$","buttons":["$-1/\\sqrt{3}$","$-\\sqrt{3}$","$-1$"]},{"text":"$\\ctg 2\\pi$","answer":2,"explanation":"не определён","buttons":["$0$","$1$","не определён"]}],"no_uppercase":true}
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