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3.3 Coordinate geometry in the (x, y) plane (A-level only)

3.3 Coordinate geometry in the (x, y) plane (A-level only)

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Question 27

A curve has the parametric equations

x=3cos⁡t,y=sec⁡2t,0<t<π2 x = 3\cos t, \quad y = \sec^2 t, \quad 0 < t < \frac{\pi}{2} x=3cost,y=sec2t,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

3.3 Coordinate geometry in the (x, y) plane (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.3 Coordinate geometry in the (x, y) plane (A-level only)

76 exam-style questions on WJEC A Level Maths 3.3 Coordinate geometry in the (x, y) plane (A-level only), covering 3.3.1 Coordinate geometry in the (x, y) plane (A-level only) and 3.3.2 Coordinate geometry in the (x, y) plane (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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