Question

Se cos(90° - x) = 12/13, determine o valor de tgx​

Answer 1

$cos(90^{\circ \:} - x) = \frac{12}{13}\\ arccos(\frac{12}{13}) = 0.39479 = 22.62^{\circ \:}\\90^{\circ \:} - 22.62^{\circ \:} = x \\67.38^{\circ \:} = x\\tg(67.38^{\circ \:}) = 2.39998$

Arredondando, o resultado aproximado é: $2.4$