Easy -2.0 This is a direct application of the fundamental trigonometric identity cos²θ + sin²θ = 1, requiring only substitution of x and y. It's a multiple-choice question testing basic recall with no problem-solving or manipulation needed, making it significantly easier than average A-level questions.
1 A curve is defined by the parametric equations
$$x = \cos \theta \text { and } y = \sin \theta \quad \text { where } 0 \leq \theta \leq 2 \pi$$
Which of the options shown below is a Cartesian equation for this curve?
Circle your answer.
$$\frac { y } { x } = \tan \theta \quad x ^ { 2 } + y ^ { 2 } = 1 \quad x ^ { 2 } - y ^ { 2 } = 1 \quad x ^ { 2 } y ^ { 2 } = 1$$
1 A curve is defined by the parametric equations
$$x = \cos \theta \text { and } y = \sin \theta \quad \text { where } 0 \leq \theta \leq 2 \pi$$
Which of the options shown below is a Cartesian equation for this curve?\\
Circle your answer.
$$\frac { y } { x } = \tan \theta \quad x ^ { 2 } + y ^ { 2 } = 1 \quad x ^ { 2 } - y ^ { 2 } = 1 \quad x ^ { 2 } y ^ { 2 } = 1$$
\hfill \mbox{\textit{AQA Paper 1 2022 Q1 [1]}}