Question

1. Si: tgß = 3/4, calcule: A = ctg2ß
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Answer 1

☆ RESOLUCIÓN:

$→ \boxed{tg \beta = \frac{3}{4} }$

$→ \boxed{ctg \beta = \frac{4}{3} }$

$A = ctg2 \beta \\ A = \frac{ctg {}^{2} \beta - 1 }{2ctg \beta } \\ A = \frac{( \frac{4}{3} ) {}^{2} - 1}{2 \times \frac{4}{3} } \\ A = \frac{ \frac{16}{9} - 1}{ \frac{8}{3} } \\ A = \frac{ \frac{7}{9} }{ \frac{8}{3} } \\\boxed{A = \frac{7}{24} }$

☆ RESPUESTA:

$→ \boxed{ctg 2\beta = \frac{7}{24} }$