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Parametric Equations

Parametric Equations

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Question 87

A curve C C\,C has parametric equations

x=tan⁡t+1,y=sec⁡2t−10≤t≤2π x = \tan t + 1, \quad y = \sec^2 t - 1 \quad 0 \leq t \leq 2\pi x=tant+1,y=sec2t−10≤t≤2π
a.

Show that tan⁡2t=(x−1)2\tan^2 t = (x-1)^2tan2t=(x−1)2.

[1]
b.

Find 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.

[3]
c.

Sketch the curve

[3]
Markscheme

Parametric Equations Questions

  1. A Level
  2. /Maths
  3. /Parametric Equations

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.

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