A curve is defined by the parametric equations
x=2cosθ and y=2sinθwhere 0≤θ≤2π x = 2\cos\theta \text{ and } y = 2\sin\theta \quad \text{where } 0 \le \theta \le 2\pi x=2cosθ and y=2sinθwhere 0≤θ≤2πWhich of the options shown below is a Cartesian equation for this curve?
yx=tanθ\frac{y}{x} = \tan \thetaxy=tanθ
x2+y2=4x^2 + y^2 = 4x2+y2=4
x2−y2=4x^2 - y^2 = 4x2−y2=4
x2+y2=2x^2 + y^2 = 2x2+y2=2
Practise Edexcel A Level Maths 8.2 Using Trigonometric Identities with exam-style questions for A Level Maths. 10 questions, matched to the Edexcel A Level Maths (9MA0) 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.
