Question

Sabendo que tg (x) = 3/4 Calcule tg (2x)

Answer 1

Resposta:

3/2

Explicação passo a passo:

tg (2.3/4) = 6/4 = 3/2

Answer 2

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{tg\:(x) = \dfrac{3}{4}}$

$\mathsf{tg\:(2x) = \dfrac{2\:tg\:x}{1 - tg^2\:x}}$

$\mathsf{tg\:(2x) = \left[2\left(\dfrac{3}{4}\right)\right] \div \left[1 - \left(\dfrac{3}{4}\right)^2\right]}$

$\mathsf{tg\:2x = \dfrac{3}{2} \div\left[1 - \dfrac{9}{16}\right]}$

$\mathsf{tg\:2x = \dfrac{3}{2} \div \dfrac{16-9}{16}}$

$\mathsf{tg\:2x = \dfrac{3}{2} \div \dfrac{7}{16}}$

$\boxed{\boxed{\mathsf{tg\:(2x) = \dfrac{24}{7}}}}$