Trigonometry identities

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Pythagorean identities



Law of sines

The law of sines for an arbitrary triangle states:

or equivalently:

Law of cosines

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

or equivalently:


Sum and difference identities

 

Double-angle identities

Half-angle identities

Note that are correct, it means it may be either one, depending on the value of A/2.

Law of tangents

The law of tangents: