A curve C C\,C has parametric equations
x=2+tant,y=2sec2t−3,0≤t≤2π, t≠π2,3π2 x = 2 + \tan t, \quad y = 2\sec^2 t - 3, \quad 0 \leq t \leq 2\pi, \, t \neq \frac{\pi}{2}, \frac{3\pi}{2} x=2+tant,y=2sec2t−3,0≤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.
178 exam-style questions on OCR (MEI) A Level Maths 1.5 Coordinate Geometry, covering 1.5.1 Equation of a straight line y = mx + c, 1.5.2 Gradients of parallel and perpendicular lines, 1.5.3 Distance between two points, 1.5.4 Midpoint of a line segment, 1.5.5 Form the equation of a straight line, 1.5.6 Draw a line given its equation, 1.5.7 Point of intersection of two lines, 1.5.8 Straight line models, 1.5.9 Intersection of a line and a curve, 1.5.10 Intersection of a line and a circle, 1.5.11 Equation of a circle, 1.5.12 Circle properties, 1.5.13 Parameter and parametric equations (A-level only), 1.5.14 Convert between cartesian and parametric forms (A-level only), 1.5.15 Equation of a circle in parametric form (A-level only), 1.5.16 Gradient of a parametric curve (A-level only), 1.5.17 Parametric equations in modelling (A-level only), and 1.5 Coordinate Geometry. Each one has a worked solution and a mark scheme showing where the marks go.