Use a horizontal normal to identify a vertical tangent

The curve $C$ has $x=k\cos t$, $y=k\sin2t$, $-\pi/4\le t<\pi/4$, where $k>0$.

(i) Find the normal at $(k\cos p,k\sin2p)$, where $-\pi/4<p<\pi/4$.3 marks

(ii) Deduce the tangent at $t=0$.2 marks