Question

se tg(a-b) = 0,98, e tgb = 1, quanto vale tga?

Answer 1

Olá,

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

$0,98= \frac{tg\ a-1}{1+tg\ a*1}$

$0,98*(1+tg\ a)= tg\ a-1$

$0,98+0,98tg\ a= tg\ a-1$

$0,02tg\ a =1,98$

$\boxed{tg\ a = \frac{1,98}{0,02} =\boxed{99}}$