Question

Si Cotx = – 1 4 , calcula Tan2x.

Answer 1

Hola (｡•̀ᴗ-)✧

Respuesta:

$\tan (2x) = - \frac{28}{195}$

Explicación paso a paso:

$\tan (2x) = \frac{2 \tan (x) }{ 1 - { \tan }^2 (x)}$

$\tan (2x) = \frac{2 \bigl (\frac{1}{\cot (x) } \bigr ) }{ 1 -\frac{1}{ { \cot }^2 (x)}}$

$\tan (2x) = \frac{2 \bigl (\frac{1}{ - 14} \bigr ) }{ 1 -\frac{1}{ {(- 14)}^{2} }}$

$\tan (2x) = \frac{ \bigl ( - \frac{1}{ 7} \bigr ) }{ 1 -\frac{1}{ 196 }}$

$\tan (2x) = \frac{ \bigl ( - \frac{1}{ 7} \bigr ) }{ \frac{195}{ 196 }}$

$\tan (2x) = - \frac{196}{195 \times 7}$

$\tan (2x) = - \frac{28}{195}$