A curve C C\,C has parametric equations
x=tant−4,y=5−sec2t,0≤t≤2π, t≠π2,3π2 x = \tan t - 4, \quad y = 5 - \sec^2 t, \quad 0 \leq t \leq 2\pi, \, t \neq \frac{\pi}{2}, \frac{3\pi}{2} x=tant−4,y=5−sec2t,0≤t≤2π,t=2π,23πFind an equation for C C\,C 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 CCC.
143 exam-style questions on OCR A Level Maths 1.3 Coordinate Geometry in the x-y Plane, covering 1.3.1 Straight lines, 1.3.2 Parallel and perpendicular lines, 1.3.3 Straight line models, 1.3.4 Coordinate geometry of a circle, 1.3.5 Centre and radius by completing the square, 1.3.6 Circle properties, 1.3.7 Parametric equations of curves (A-level only), 1.3.8 Parametric equations in context (A-level only), and 1.3 Coordinate Geometry in the x-y Plane. Each one has a worked solution and a mark scheme showing where the marks go.