9709 P32 - Nov 2024 - Q8 - 8 marks
9960
A curve is given by \(x=\tan^2(2t),\ y=\cos(2t)\), for \(0<t<\pi/4\).
(a) Show that \(dy/dx=-\frac12\cos^3(2t)\). [4]
(b) Find the normal at \(t=\pi/8\), in the form y=mx+c. [4]
