Question

me ajudeee com urgencia por favor

Answer 1

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

$\sf tg(a + b) = \frac{ \frac{1}{2} + \frac{1}{5} }{1 - \frac{1}{2}. \frac{1}{5} } \\ \\ \sf tg(a + b) = \frac{ \frac{5 + 2}{10} }{1 - \frac{1}{10} } \\ \\ \sf tg(a + b) = \frac{ \frac{7}{ \cancel10} }{ \frac{10 - 1}{ \cancel10} } \\ \\ \boxed{\sf tg(a + b) = \frac{7}{9} }$