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Integrals of Trigonometric Functions
·
Derivatives of Trigonometric Functions
·
Conversion of Trigonometric Functions
·
Law of cosines
·
Law of sines
Additional Formulas
·
Basic Relationships
·
Pythagoras
·
Right Triangle
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Shifts and Periodicity
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Symmetry
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Law of cosines
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Law of sines
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Law of tangents
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Product to Sum
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Sum to Product
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Trigonometry
> Law of cosines
Law of cosines
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For an arbitrary ΔABC the law of cosines states:
a
2
= b
2
+ c
2
 2 ∙ b ∙ c ∙ cos
A
b
2
= a
2
+ c
2
 2 ∙ c ∙ a ∙ cos
B
c
2
= a
2
+ b
2
 2 ∙ a ∙ b ∙ cos
C
or generally as:
cos
C
= (a
2
+ c
2
 c
2
) / 2ab
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