Question

Calcule a/b si:

sec(a+b) = csc20°
tg2a=ctg50°

Answer 1

RESOLUCIÓN:

$tg \: 2a = ctg \: 50 \\ 2a + 50 = 90 \\ 2a = 90 - 50 \\ 2a = 40 \\ a = \frac{40}{2} \\ a = 20$

$sec(a + b) = csc \: 20 \\ a + b + 20 = 90 \\ 20 + b + 20 = 90 \\ b + 40 = 90 \\ b = 90 - 40 \\ b = 50$

RESPUESTA:

$\frac{a}{b} = \frac{20}{50} = \frac{2}{5} = 0.4$