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Additional Mathematics
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Additional Mathematics
Application of Sine Rule, Cosine Rule and Area of a Triangle
Additional Mathematics
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Application of Sine Rule, Cosine Rule and Area of a Triangle
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Sine rule
a/sin A = b/sin B = c/sin C or sin A/ a = sin B/ b = sin C/ c
Conditions that allow the sine rule to be used
-two angles and one side are known -two sides and one non-included angle are known
Example of included angle
Angles contained by two sides (both sides are known for their value)
Example of non-included angle
An angle of which only one side is known for its value
Cosine rule
Conditions that allow the cosine rule to be used
-two sides and an included angle are known -three sides are known
Area = 1/2× base × height
Area = 1/2ab sin C = 1/2ac sin B = 1/2bc sin A
Area of a triangle using Heron’s formula
where a, b and c are the sides of the triangle and s = (a + b + c)/2
Ambiguous case
Two triangles can be constructed by using the same set of information given
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