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3 Unit A2 1: Pure Mathematics (A-level only)

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Question 18

A curve has the parametric equations

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

3 Unit A2 1: Pure Mathematics (A-level only) Questions

  1. A Level
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