\[\boxed{\mathbf{592.ОК\ ГДЗ - домашка\ на}\ 5}\]
\[\textbf{а)}\ tg\ \alpha = \frac{1}{2}:\ \ \ \]
\[tg\ \alpha = \frac{\text{BC}}{\text{AC}} = \frac{1}{2}\]
\[BC = 1;\ AC = 2.\]
\[\textbf{б)}\ tg\ \alpha = \frac{3}{4}:\ \ \ \]
\[tg\ \alpha = \frac{\text{BC}}{\text{AC}} = \frac{3}{4}\]
\[BC = 3;\ AC = 4.\]
\[\textbf{в)}\cos\alpha = \frac{2}{10}:\]
\[\cos\alpha = \frac{\text{AC}}{\text{AB}} = \frac{1}{5}\]
\[AC = 1;\ AB = 5.\]
\[\textbf{г)}\cos\alpha = \frac{2}{3}:\]
\[\cos\alpha = \frac{\text{AC}}{\text{AB}} = \frac{2}{3}\]
\[\ AC = 2;\ AB = 3.\]
\[\textbf{д)}\sin\alpha = \frac{1}{2}:\]
\[\sin\alpha = \frac{\text{BC}}{\text{AB}} = \frac{1}{2}\]
\[BC = 1;\ AB = 2.\]
\[\textbf{е)}\sin\alpha = \frac{4}{10}:\ \ \]
\[\sin\alpha = \frac{\text{BC}}{\text{AB}} = \frac{2}{5}\]
\[BC = 2;\ AB = 5.\]