Question

Si x + y = 45° La tg X = 1/6, calcula ta y

Answer 1

Respuesta:

tg(y)= 5/7

Explicación paso a paso:

$tg(a+b)=\frac{tg(a)+tg(b)}{1-tg(a)tg(b)}$

aplicamos la fórmula

$tg(x+y)=\frac{tg(x)+tg(y)}{1-tg(x)tg(y)}\\\\ tg(45\°)=\frac{\frac{1}{6}+tg(y) }{1-\frac{1}{6}tg(y) }\\\\ 1=\frac{\frac{1+6tg(y)}{6} }{\frac{6-tg(y)}{6} }\\\\ 1=\frac{1+6tg(y)}{6-tg(y)}\\\\ 6-tg(y)=1+6tg(y)\\ 6-1=6tg(y)+tg(y)\\ 5=7tg(y)\\\ \frac{5}{7}=tg(y)$