$(10$ points$)$ Find as all polar points $(r,)$ of horizontal and vertical tangency to the curve: $x=cos(2)$

$y=sin(2)$ for $0\frac{}{(2{)}^{{?}^{?}}}r>0$

$(10$ points$)$ Set the integral and find the area of one petal of $r=cos2$ for $-\frac{}{4}\frac{}{4}.$