Skip to content

Course home

Parametric Equations

Parametric Equations

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178
Question 123

A curve has the parametric equations

x=2tan⁡2t,y=3cos⁡t,0<t<π2 x = 2\tan^2 t, \quad y = 3\cos t, \quad 0 < t < \frac{\pi}{2} x=2tan2t,y=3cost,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.

Question bank