Предмет: Алгебра, автор: kramarenko228

Дано: cosx=\frac{5}{13} xє(\frac{3}{\pi };2π)

Знайти: tgx

Ответы

Автор ответа: ViktorShahter
1

Ответ:

-12/5

Объяснение:

\sin(x) = \sqrt{1 - { \cos(x) }^{2} } = \sqrt{1 - \frac{25}{169} } = \sqrt{ \frac{144}{169} } = \frac{12}{13}

sin будет отрицательным в этом периоде.

\tan(x) = \frac{ \sin(x) }{ \cos(x) } = \frac{12}{13} \div \frac{5}{13} = \frac{12}{13} \times \frac{13}{5} = \frac{12}{5}

Так как синус отрицательный, косинус – нет, то и тангенс отрицательный.

Предыдущий вопрос
Следующий вопрос
Интересные вопросы
Предмет: Русский язык, автор: Аноним
звуко буквеный разбор слова слово песнь
2 года назад
Предмет: Окружающий мир, автор: tansid37
Самый восточный город России?
2 года назад
Предмет: Английский язык, автор: marishokk111
Вставьте словосочетания

A. A lot to see

B. Used by the Army

C. Home to royalty

D. Ancient traditions live on

E. A national symbol











1. ____ Edinburgh Castle, situated high above the city on Castle Rock, was once the home of the kings and queens of Scotland. The 700-year-old Crown of Scotland is still on display there, and the Royal apartments include a tiny room where the future king of England, James I, was born in 1566.
2. _____ The Castle was the site of many battles with the English. Over the centuries it survived many attempts to destroy it, that is why many Scots see it as a symbol of their own survival.
3. _____ Visitors to the Castle will see a military guard at the gate, because the castle is still the headquarters of the army’s Scottish Division. The famous Military Tattoo is also held here every August. This is a spectacular three-week festival of bagpipe and band music, marching and displays by Scottish regiments.
4. _____ Edinburgh Castle houses exhibitions of Scottish history and a collection of armour and weapons. As well as what there is to see inside, the castle’s hilltop position offers the best views of the city.
2 года назад
Предмет: Геометрия, автор: Рудик010
Найдите периметр квадрата если его диагональ равна 53/√2
8 лет назад
Предмет: Математика, автор: alina2147
(500200-469937) х 403
8 лет назад