A curve K K\,K has parametric equations
x=3sint+2,y=2cos2t−50≤t≤2π x = 3 \sin t + 2, \quad y = 2 \cos^2 t - 5 \quad 0 \leq t \leq 2\pi x=3sint+2,y=2cos2t−50≤t≤2πFind an equation for K K\,K 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
215 exam-style questions on Edexcel A Level Maths Parametric Equations, covering 8.1 Parametric Equations, 8.2 Using Trigonometric Identities, 8.3 Curve Sketching, 8.4 Points of Intersection, and 8.5 Modelling with Parametric Equations. Each one has a worked solution and a mark scheme showing where the marks go.