A curve has the parametric equations
x=sin2t,y=3sin2t,0<t<π x = \sin^2 t, \quad y = 3\sin 2t, \quad 0 < t < \pi x=sin2t,y=3sin2t,0<t<πFind an expression for dydx\displaystyle \frac{dy}{dx}dxdy in terms of ttt.
Find an equation of the normal to the curve when t=π3\displaystyle t = \frac{\pi}{3}t=3π.
Find a cartesian equation for the curve.
19 exam-style questions on Edexcel A Level Maths 8.1 Parametric Equations. Each one has a worked solution and a mark scheme showing where the marks go.