A curve S S\,S has parametric equations
x=1+2sint,y=5−cos2t0≤t≤2π x = 1 + 2 \sin t, \quad y = 5 - \cos^2 t \quad 0 \leq t \leq 2\pi x=1+2sint,y=5−cos2t0≤t≤2πFind an equation for S S\,S in the form y=f(x)y = f(x)y=f(x) and state the domain for which the curve is defined.
Sketch the curve
Practise AQA A Level Maths 1.6 C: Coordinate geometry in the (x, y) plane with exam-style questions for A Level Maths. 110 questions covering 1.6.1 Equation of a straight line, 1.6.2 Coordinate geometry of the circle, 1.6.3 Parametric equations of curves (A-level only), and 1.6.4 Parametric equations in modelling (A-level only), matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
