588. Найдите cos ẞ, tgẞ и ctgẞ, если sinẞ= 4 5.

\[\sin^2 β + \cos^2 β = 1\]\[\cos^2 β = 1 - \sin^2 β = 1 - (\frac{4}{5})^2 = 1 - \frac{16}{25} = \frac{9}{25}\]\[\cos β = \sqrt{\frac{9}{25}} = \frac{3}{5}\]

\[\tan β = \frac{\sin β}{\cos β} = \frac{\frac{4}{5}}{\frac{3}{5}} = \frac{4}{3}\]

\[\cot β = \frac{1}{\tan β} = \frac{1}{\frac{4}{3}} = \frac{3}{4}\]