Предмет: Геометрия, автор: 29irinka

Помогите пожалуйста.В прямоугольном треугольнике косинус острого угла равен 0.8. Найдите синус и тангенс этого угла.

Ответы

Автор ответа: mzmmzm0418

Ответ:

Написано на бумажке ........

Приложения:

Автор ответа: RankFuzzball179

Відповідь:

sinα = 0.6, tgα = 0.75

Пояснення:

Є така формула: $sin^{2}a + cos^{2}a = 1$ ==> $sin^{2}a = 1 - cos^{2}a$ ==> $sina = \sqrt{1 - cos^{2}a}$

$sina = \sqrt{1 - 0.8^{2} } = \sqrt{1 - 0.64} = \sqrt{0.36} = 0.6$

$tga = \frac{sina}{cosa}$ ==> $tga = \frac{0.6}{0.8} =\frac{6}{8} = \frac{3}{4} = 0.75$

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