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C4 Chapter 2: Parametric Equations Dr J Frost Last modified: 19 th November 2014

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Parametric vs Cartesian Equations A parametric equation is one where each of x, y (z etc.) are expressed in terms of some independent parameter.

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Sketching Parametric Curves t x y Let’s just try a few values for the parameter and see what coordinates we get... ? O ?

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Solving Problems involving Parametric Equations ? ? ? Q Q

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Test Your Understanding C4 Jan 2013 a ? b ?

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Exercise 2B 1 a c e 2 a c e a b ? ? ? ? ? ? ? ? ? ? ? ?

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Converting from Parametric Cartesian We can use substitution or well known identities to convert parametric equations into Cartesian ones. This involves eliminating the parametric variable and forming a single equation. ? ?

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Test Your Understanding C4 June 2013 ? C4 Jan 2011 ? which double angle formula would be best here?

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Exercise 2C C4 June 2012 Q6 ? Harder! C4 Jan 2008 Q7 ? c e g i ? ? ? ? ? ? ?

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