Question

Втреугольнике abc угол c равен 90 градусов.sin a=5корней их 34/34.найдите tg b

Answer 1

$\sin \alpha = \cos \beta = \frac{5\sqrt{34}}{34}\\ \sin \beta = \sqrt{1-\cos^2 \beta} = \sqrt{1-\frac{25}{34}} = \sqrt{\frac{9}{34}} = \frac{3\sqrt{34}}{34}\\ \tan \beta = \frac{\sin \beta}{\cos \beta} = \frac{3}{5}$