$5=\sqrt{(x^\prime(t))^2+(y^\prime(t))^2}\text{ or }25=(x^\prime(t))^2+(y^\prime(t))^2$

$\frac{dy}{dx}=\frac{y^\prime(t)}{x^\prime(t)}=\cos(x)$

$y^\prime(t)=x^\prime(t)\cos(x)$

$25=(x^\prime(t))^2+(x^\prime(t)\cos(x))^2)$

$x^\prime(t)=\sqrt{\frac{25}{1-\cos^2(x)}}$

Evaluate $x′(2)$.