Question

Resolva:
1/sen²(x)*sen²(x)/sen²(x)-1

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{\left(\dfrac{1}{sen^2\:x}\left) \times \left(\dfrac{sen^2\:x}{sen^2\:x - 1}\right)}$

$\mathsf{\left(\dfrac{1}{sen^2\:x}\right) \times \left(\dfrac{sen^2\:x}{1 - cos^2\:x - 1}\right)}$

$\mathsf{\left(\dfrac{1}{sen^2\:x}\right) \times -\left(\dfrac{sen^2\:x}{cos^2\:x}\right)}$

$\mathsf{-\left(\dfrac{1}{cos^2\:x}\right)}$

$\mathsf{-\left(\dfrac{1}{cos\:x}\right)^2}$

$\boxed{\boxed{\mathsf{\dfrac{1}{sen^2\:x} \times \dfrac{sen^2\:x}{sen^2\:x - 1} = -sec^2\:x}}}$