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[tex]\alpha\in(0^o;90^o)\longrightarrow sin\alpha, \ cos\alpha, \ tg\alpha, \ ctg\alpha>0\\\\cos\alpha=0,6\\\\sin^2\alpha+cos^2\alpha=1\\\\sin^2\alpha+0,6^2=1\\\\sin^2\alpha+0,36=1 \ \ /-0,36\\\\sin^2\alpha=0,64\\\\sin\alpha=\sqrt{0,64}\\\\\huge\boxed{sin\alpha=0,8}\\\\tg\alpha=\frac{sin\alpha}{cos\alpha}=\frac{0,8}{0,6}=\frac{8}{6}=\frac{4}{3}\\\\\huge\boxed{tg\alpha=1\frac{1}{3}}[/tex]
