Question

Відомо, що sinẞ = 8/17 cos beta = - 15/17 Знайдіть tgẞ i ctgẞ.​

Answer 1

$\displaystyle\bf\\Sin\beta =\frac{8}{17} \ \ \ ; \ \ \ Cos\beta =-\frac{15}{17} \\\\\\tg\beta =\frac{Sin\beta }{Cos\beta } =\frac{8}{17} :\Big(-\frac{15}{17} \Big)=-\frac{8}{17} \cdot\frac{17}{15} =-\frac{8}{15} \\\\\\Ctg\beta =\frac{1}{tg\beta }=1:\Big(-\frac{8}{15} \Big)=-1\cdot\frac{15}{8} =-\frac{15}{8} =-1\frac{7}{8} =-1,875$