Identidades e Funções Matemáticas

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Consider a vertex.
Then,
Consider a covertex.
Then
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Let
Because then
Standard Form of the Hyperbola
Derivation
A hyperbola is the set of all points in a plane such that the absolute value of the difference of the distances between two
fixed points is constant.
A • Proofs, Identities, and Toolkit Functions 1325
Diagram 1: The difference of the distances from Point P to the foci is constant:
Diagram 2: When the point is a vertex, the difference is
Define as a positive number such that
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Trigonometric Identities
Pythagorean Identities
Even-Odd Identities
Cofunction Identities
Fundamental Identities
Sum and Difference Identities
Double-Angle Formulas
Table A1
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Half-Angle Formulas
Reduction Formulas
Product-to-Sum Formulas
Sum-to-Product Formulas
Law of Sines
Law of Cosines
Table A1
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