double angle identity
The double angle identities are
(1) | |||||
(2) | |||||
(3) |
These are all derived from their respective trigonometric addition formulas. For example,
The formula for cosine follows similarly, and the formula tangent is derived by taking the ratio of sine to cosine, as always.
The double angle identities can also be derived from the de Moivre identity.
Title | double angle identity |
Canonical name | DoubleAngleIdentity |
Date of creation | 2013-03-22 12:14:31 |
Last modified on | 2013-03-22 12:14:31 |
Owner | Wkbj79 (1863) |
Last modified by | Wkbj79 (1863) |
Numerical id | 16 |
Author | Wkbj79 (1863) |
Entry type | Theorem |
Classification | msc 26A09 |
Classification | msc 33B10 |
Synonym | double-angle identity |
Synonym | double angle formula |
Synonym | double-angle formula |
Synonym | double angle formulae |
Synonym | double-angle formulae |
Related topic | DeMoivreIdentity |
Related topic | AngleSumIdentity |
Related topic | AdditionFormulasForSineAndCosine |