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

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Presentation on theme: "C4 Chapter 2: Parametric Equations Dr J Frost Last modified: 19 th November 2014."— Presentation transcript:

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

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

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

4 Solving Problems involving Parametric Equations ? ? ? Q Q

5 Test Your Understanding C4 Jan 2013 a ? b ?

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

7 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. ? ?

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

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


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