Question

Alguém responde logo por favor

Answer 1

$\boxed{f(x)=\dfrac{\frac{1}{\tan{x}}-\sqrt{2}}{\frac{5}{\sqrt{2}}-\sin{x}}}$

$x=\dfrac{\pi}{4}\Longrightarrow f\left(\dfrac{\pi}{4}\right)=\dfrac{\frac{1}{1}-\sqrt{2}}{\frac{5}{\sqrt{2}}-\frac{1}{\sqrt{2}}}=(1-\sqrt{2})\bigg(\dfrac{\sqrt{2}}{4}\bigg)$

$\Longrightarrow \boxed{f\left(\dfrac{\pi}{4}\right)=\dfrac{\sqrt{2}-2}{4}}$