5:
a)
[tex]sin\alpha = \frac{x}{z} = \frac{15}{17} \\\\sin\alpha = 0,88\\\alpha = 62\\cos\alpha = \frac{17}{15}\\tg\alpha = \frac{x}{y} = \frac{15}{y} \\tg62 = \frac{15}{y}\\1.88 = \frac{15}{y}\\\frac{188}{100} = \frac{15}{y} \\y = 7,98\\ctg\alpha = ctg62 = 0.53[/tex]
b)
[tex]tg\alpha = \frac{x}{y} = \frac{5}{12}\\\\tg\alpha = 0,416\\\alpha = 22\\x=5\\y=12\\z = ?\\ \\sin22=\frac{5}{z}\\\frac{3746}{10000} = \frac{5}{z}\\z = 13,35\\cos22 = 0,9272\\ctg22 = 2,4751[/tex]
