Coordinate Geometry in the (x,y) plane

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Chapter 2
Jaeos
Note by Jaeos, updated more than 1 year ago
Jaeos
Created by Jaeos over 10 years ago
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Page 1

t is a label not a point on the graph.

A Cartestian Equation is an equation made of x and y onlyA Parametric Equation is an equation with x, y and tSo you can always find t and its cooresponding (x,y) values

t is different for every coordinate (x,y)

Simultaneous Equations are used often in this chapter

Example 6 in Chapter 2 is very good example of how trigonometry can be used in this chapter!

When trigonometry comes into play remember to stay calm! It just means that you'll need your formula sheets so that you can start subbing, don't attempt to do it all from memory. Keep in mind that your aim is to get rid of 't' or to find it, and that you can do as plesase with the tirgonometry as long as you get a result and you make clear which formula your using. Aim to sub in you other value early on. Its fine if you do only half of the euqation and then make a thought bubble to conitnue your working for the second half. the entire equation doesn't have to been done in one go.

In this chapter powers won't exceed 4 in equations, with 2's and 3's being the most common.

Using C2 Integration to find the area under the curve

Do not over complicate it

make sure you find the value of t for x 

-> it is t which you are using to find the area not x

Remember to simplify the equation before integrating

You need to put the calculator into radians before attempting to solve anything with pi in it!

Basic Cartesian and Parametric Equations

Finding the Area Under a Curve

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