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Right angled Trigonometry
Non-right angled Trigonometry: The Sine Rule and the Cosine Rule
Worked Examples

 

Notes:

  1. On the x-axis  y=0

  2. On the y-axis  x=0

Careful with negative numbers particularly in square roots as once they are squared they become positive as seen above

 

 

MATH STUDIES

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Geometry and Trigonometry

Geometry in two dimensions

 

Graph1

 

Given two points A with coordinates (x1;y1) and B with coordinates (x2;y2)on the straight line (AB) we can calculate and find:

  1. The mid-point of (AB)  M formula2

  2. The distance between the two points A and B

    formula3

  3. The gradient of the line (AB)  m equation4

 

Example: Given A (2 ; 5) and B (-2 ; 13) Find

  1. The mid-point of (AB) M

  2. The distance AB

  3. Gradient of the line (AB)

 

Working:

  1. The midpoint of (AB) M  formula5

  2. The distance AB

    formula6

    The answer can be left as a square root of a natural number (exact answer) or given to 3 significant figures = 8.94 units

  3. The gradient of line (AB) m images7

 

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