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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
как найти значение тангенса, зная угол в градусах или радианах, к примеру угол 30 градусов (в радианах 0.5235987755982988) на калькуляторе tan( 0.523 ) = 0.5765521775327287 а как на бумажке рассчитать? нашел на сайте формулу адрес сайта не пойму откуда берется цифра 6 деленная на пи, 1 делится на 3 в корне, прошу помочь разобраться с этой задачей
да я это и имел ввиду tan30, вы правильно поняли, извиняюсь за не правильно изложенный вопрос, так вот мне не понятно откуда берется цифра 6 или в 45 градусов написано что п/4 откуда берется 4
да я это и имел ввиду tan30, вы правильно поняли, извиняюсь за не правильно изложенный вопрос, так вот мне не понятно откуда берется цифра 6 или в 45 градусов написано что п/4 откуда берется 4
Развёрнутый угол равен или радиан. Чтобы узнать, чему равна радианная мера угла, который имеет градусную меру можно составить пропорцию
откуда
По формуле получается, что - угол, имеющий угловую меру имеет радианную меру
большое спасибо, я извиняюсь если вас не затруднит что обозначает знак вопроса ! в формуле? я плохо пользуюсь формай по этому и написал = вместо не точное равно
у меня остался теперь основной вопрос tan(30 градусов) = 0.576 по какой формуле получилось число 0.576 ?
В этом частном случае результат можно получить вручную. По Вашей ссылке рассмотрим треугольник ABC, где угол С=90градусов, а угол B=30градусов. Надеюсь, Вы знаете, что в таком треугольнике катет b равняется половине гипотенузы с, и если принять с=1, то По теореме Пифагора Далее, по определению тангенса: Цитата: Arthur
а как на бумажке рассчитать?
А вот теперь это можно посчитать на бумажке, вычислить в столбик корень из 3 и разделить в столбик что получилось на 3.
Получилось ~0.577. У Вас 0.576, так как Вы неверно взяли значение Пи/6, правильнее не отбрасывать "лишние" знаки, как Вы сделали (0.523), а взять значение по правилам округления 0.524. Посчитайте на калькуляторе, убедитесь!
В общем случае, увы, тангенс просто на бумаге посчитать затруднительно, для этого существуют калькуляторы, а, в глубокой древности (еще лет 30 тому назад ) значения брались из таблиц или вычислялись на логарифмической линейке.
5
Об авторе:
Понеже не словес красных бог слушает, но дел наших хощет
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Arthur 
то 
радиан, но не 
радиан. Поэтому уточните, пожалуйста, свой вопрос.
или 
радиан. Чтобы узнать, чему равна радианная мера 
угла, который имеет градусную меру 
можно составить пропорцию
получается, что
имеет радианную меру
имеет радианную меру
имеет радианную меру
лежит эта формула:
обозначает факториал. Например,
) значения брались из таблиц или вычислялись на логарифмической линейке.