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Parametric Equations

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Question 6

A curve has the parametric equations

x=2tan⁡2t,y=cos⁡t,0<t<π2 x=2\tan^2t,\quad y=\cos t,\quad 0<t<\frac{\pi}{2} x=2tan2t,y=cost,0<t<2π​
a.

Find an expression for dydx\displaystyle \frac{dy}{dx}dxdy​ in terms of ttt.

[3]
b.

Find an equation of the tangent to the curve when t=π4\displaystyle t=\frac{\pi}{4}t=4π​

[5]
c.

Find a cartesian equation for the curve.

[4]
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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