Решение:
Краткое пояснение: Используем определения синуса, косинуса и тангенса острого угла прямоугольного треугольника.
- \(\sin A = \frac{a}{c}\)
- \(\cos A = \frac{b}{c}\)
- \(\tan A = \frac{a}{b}\)
- \(\sin B = \frac{b}{c}\)
- \(\cos B = \frac{a}{c}\)
- \(\tan B = \frac{b}{a}\)
Подставляем значения:
- \(\sin A = \frac{6}{10} = 0.6\)
- \(\cos A = \frac{8}{10} = 0.8\)
- \(\tan A = \frac{6}{8} = 0.75\)
- \(\sin B = \frac{8}{10} = 0.8\)
- \(\cos B = \frac{6}{10} = 0.6\)
- \(\tan B = \frac{8}{6} = 1.33\)
Ответ:
- \(\sin A = 0.6\)
- \(\cos A = 0.8\)
- \(\tan A = 0.75\)
- \(\sin B = 0.8\)
- \(\cos B = 0.6\)
- \(\tan B = 1.33\)