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1.5.14 Convert between cartesian and parametric forms (A-level only)

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Question 36

A curve C C\,C has parametric equations

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

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.

[4]
b.

Sketch the curve

[2]

1.5.14 Convert between cartesian and parametric forms (A-level only) Questions

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