Trigonometry Identities

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Contents

1 Pythagorean identities
2 Law of sines
3 Law of cosines
4 Sum and difference identities
5 Double-angle identities
6 Half-angle identities
7 Law of tangents

Pythagorean identities[edit]

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Law of sines[edit]

The law of sines for an arbitrary triangle states:

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or equivalently:

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Law of cosines[edit]

The law of cosines (also known as the cosine formula) is an extension of the Pythagorean theorem to arbitrary triangles:

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or equivalently:

\text{[math]}

Sum and difference identities[edit]

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\text{[math]}

\text{[math]}

\text{[math]}

\text{[math]}

Double-angle identities[edit]

\text{[math]}

\text{[math]}

\text{[math]}

Half-angle identities[edit]

Note that $\text{[math]}$ are correct, it means it may be either one, depending on the value of A/2.

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\text{[math]}

\text{[math]}

Law of tangents[edit]

The law of tangents:

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Categories: [Trigonometry]

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