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Right angled Trigonometry
Nonright angled Trigonometry: The Sine Rule and the Cosine Rule
Worked Examples
Notes:
On the xaxis y=0
On the yaxis x=0
Careful with negative numbers particularly in square roots as once they are squared they become positive as seen above


MATH STUDIES
Geometry and Trigonometry
Geometry in two dimensions
Given two points A with coordinates (x_{1};y_{1}) and B with coordinates (x_{2};y_{2})on the straight line (AB) we can calculate and find:
The midpoint of (AB) M
The distance between the two points A and B
The gradient of the line (AB) m
Example: Given A (2 ; 5) and B (2 ; 13) Find
The midpoint of (AB) M
The distance AB
Gradient of the line (AB)
Working:
The midpoint of (AB) M
The distance AB
The answer can be left as a square root of a natural number (exact answer) or given to 3 significant figures = 8.94 units
The gradient of line (AB) m
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